2.3.2: Michael Myers predicts that SAT scores predict college graduation rates in a linear fashion. U of M has an average SAT of 1450 and a graduation rate of 90%. GVSU has an average SAT of 1110 and a graduation rate of 69.6%. Write an equation to represent the linear relationship . Be sure your equation is in slope-intercept form

Answers

Answer 1

Answer:

[tex]y = \frac{5000r}{3} -50[/tex]

Step-by-step explanation:

Represent the SAT score with y and the rate with r.

So, we have:

[tex](r_1,y_1) = (90\%,1450)[/tex]

[tex](r_2,y_2) = (69.6\%,1110)[/tex]

Required

Determine the equation in slope intercept form

First, we calculate the slope

[tex]m =\frac{y_2 - y_1}{r_2 - r_1}[/tex]

This gives:

[tex]m =\frac{1110 - 1450}{69.6\% - 90\%}[/tex]

[tex]m =\frac{-340}{-20.4\%}[/tex]

Convert percentage to decimal

[tex]m =\frac{-340}{-0.204}[/tex]

[tex]m =\frac{340}{0.204}[/tex]

Multiply by 1000/1000

[tex]m =\frac{340*1000}{0.204*1000}[/tex]

[tex]m =\frac{340000}{204}[/tex]

[tex]m = \frac{5000}{3}[/tex]

The equation is then calculated as:

[tex]y - y_1 = m(r - r_1)[/tex]

This gives:

[tex]y - 1450 = \frac{5000}{3}(r - 90\%)[/tex]

Open Bracket

[tex]y - 1450 = \frac{5000r}{3} - \frac{5000}{3}*90\%[/tex]

Convert percentage to decimal

[tex]y - 1450 = \frac{5000r}{3} - \frac{5000}{3}*0.90[/tex]

[tex]y - 1450 = \frac{5000r}{3} - 5000*0.30[/tex]

[tex]y - 1450 = \frac{5000r}{3} - 1500[/tex]

Make y the subject

[tex]y = \frac{5000r}{3} - 1500+1450[/tex]

[tex]y = \frac{5000r}{3} -50[/tex]


Related Questions

The conservation club has 32 members. There are 18 girls in the club. What is the ratio of girls to boys in simplest form?
79
916
97
716

Answers

Answer:

9:7

Step-by-step explanation:

number of boys is 32 - 18 = 14

ratio will be 18:14

then 9:7

Answer: 9:7 hope this help i did the quiz so i know answer

Step-by-step explanation:

Find the equation of the line that is parallel to the given line and passes through the given points Y=0.1 X -2;(-4,8)
The equation is y=
Please help it’s very urgent

Answers

Answer:

y=0.1x + 8.4

I hope it will be useful.

What value of x is in the solution set of 8x - 6 > 12 + 2x?
O-1
O0
O3
O5

Answers

The answer of X will be equal (3)


[tex] {x}^{3} - 4x + \sqrt{{x}^{3} - 4x + 9 } = 3[/tex]
Help me please ​

Answers

x= -2,0,2

For this question, you need to isolate all terms under the square root, so you need to move x^3 and -4x to the right. Then you would square both sides, and combine like terms.

plz give answer and explanation
i will give 24 points

Answers

Answer:

please refer to the above attachment.

Step-by-step explanation:

a. 3800 + 2.5%3800 = 3895

3895 - 3800 = 95 is the interest

b. there are 12 months in a year so...

95 x 12 = 1140 is the total interest

The figure shows triangle ABC inscribed in circle D.
If the measure of angle CBD = 44°, find the measure of angle BAC, in degrees. Explain each
step you take to solve using proper math vocabulary.
Unit 4a Question
B

Answers

Answer: 46

Step-by-step explanation:

Just got it on a test so I wanted to help you guys out. Thank you guys in the comment section of the other answer. That one is wrong.

A plane travels north for 2.5 h at a velocity of 100 km/h. Another plane travels east for 4 hours at a velocity of 62.5 km/h. Which plane traveled the longer distance? Show all calculations

Answers

Answer:

The two planes have traveled the same distance.

Step-by-step explanation:

Given that:

Velocity of first plane traveling north = 100 km/h

Time taken by the plane = 2.5 hours

Velocity of second plane traveling north = 62.5 km/h

Time taken by the plane = 4 hours

To find:

Which plane traveled longer distance?

Solution:

First of all, let us have a look at the formula for finding the distance using velocity and time.

Formula is:

[tex]Distance = Velocity \times Time[/tex]

Distance traveled by first plane:

[tex]Distance_1 = 100\times 2.5\\\Rightarrow Distance_1 = 250 \ km[/tex]

Distance traveled by second plane:

[tex]Distance_2 = 62.5\times 4\\\Rightarrow Distance_2 = 250 \ km[/tex]

Here, we can clearly see that:

[tex]Distance _1 = Distance _2[/tex]

Therefore, the two planes have traveled the same distance.

A circle is inscribed in a square. If the sum of the perimeter of the square and the circumference of the circle is 100cm, calculate the radius of the circle. ​

Answers

Answer:

7 cm

Step-by-step explanation:

Let the side of square be x.

Perimeter of square = 4x

Diameter of circle = x

Radius of circle = x/2

Circumference of circle = 2 * 22/7 * x/2 = 22/7x

According to Question,

4x + 22/7x = 100

(28+22) / 7x = 100

50x = 700

x = 14

Hence, diameter of circle = 14 cm

Radius of circle = (14/2) cm = 7 cm  

2 integers with a sum of 0 and product of -16

Answers

Answer:

-4 and + 4

Step-by-step explanation:

Two integers with a sum of 0 and product of - 16

Let the two digits = a and b

a + b = 0

a * b = - 16

If a = 4 and b = - 4 ;

CHECK:

4 + (-4) = 4 - 4 = 0

4 * (-4) = - 16

HENCE, the two integers are 4 and - 4 or - 4 and 4

What is (f+g) (x)???

Answers

Answer:

A.

Step-by-step explanation:

To get to the answer, add both f(x) and g(x) together. This would be (2x^2 +3x -4) + (-4x^2 + 5x - 8). Remember that adding a negative number is the same as subtracting the positive of that number, for example, 3 + (-4) is the same as 3 - 4.

please help will mark brainliest​

Answers

Answer:

y = 5.5

Step-by-step explanation:

y = 22 * 0.5^2

=> 22* 0.25

=> 5.5

Hope this helps!      :3

plz mark as brainliest!

can you please show the work on both of them? ​

Answers

                                            Question 9)

From the line graph, taking two points

(-5, 4) (-6, 7)

Finding the slope between  (-5, 4)  and (-6, 7)

[tex]\mathrm{Slope}=\frac{y_2-y_1}{x_2-x_1}[/tex]

[tex]\left(x_1,\:y_1\right)=\left(-5,\:4\right),\:\left(x_2,\:y_2\right)=\left(-6,\:7\right)[/tex]

[tex]m=\frac{7-4}{-6-\left(-5\right)}[/tex]

[tex]m=-3[/tex]

We know that the slope-intercept of the line equation is

y = mx+b

where m is the slope and b is the y-intercept

substituting (-5, 4) and m = -3 in the slope-intercept of the line

y = mx+b

4 = -3(-5)+b

4 = 15+b

b = 4-15

b = -11

substituting b = -10 and m = -3 in the slope-intercept of the line

y = mx+b

y = -3x+(-11)

y = -3x - 11

Thus, equation is slope-intercept form will be:

y = -3x - 11

Hence, option B is true.

                                                Question 10)

From the line graph, taking two points

(4, 7) (-8, 1)

Finding the slope between  (4, 7)   and (-8, 1)

[tex]\mathrm{Slope}=\frac{y_2-y_1}{x_2-x_1}[/tex]

[tex]\left(x_1,\:y_1\right)=\left(4,\:7\right),\:\left(x_2,\:y_2\right)=\left(-8,\:1\right)[/tex]

[tex]m=\frac{1-7}{-8-4}[/tex]

[tex]m=\frac{1}{2}[/tex]

We know that the slope-intercept of the line equation is

y = mx+b

where m is the slope and b is the y-intercept

substituting (4, 7) and m = 1/2 in the slope-intercept of the line

y = mx+b

7 = 1/2(4)+b

7 = 2+b

b = 5

substituting b = 5 and m = 1/2 in the slope-intercept of the line

y = mx+b

y = 1/2x + 5

Thus, the equation is slope-intercept form will be:

y = 1/2x + 5

Hence, option C is true.

In an ordinary annuity, payments or
receipts occur at
a.Beginning of each period
b.End of each period
c.Mid of each period
d. Quarterly basis​

Answers

B. End of each period

3.3 repeating as a fraction

Answers

Answer:

The correct answer is 33/100.

Step-by-step explanation:

To transform a decimal into a fraction, follow the steps below:

Step 1: Change the Fraction into a Decimal:

3.30 = 33/100

Step 2: Find the GCF of both numbers:

The GCF (Greatest Common Factor) of 33 and 10 is 1.

Step 3: Divide both numbers by the GCF:

3.30 =

33/1  ÷ 100/1 =

33/100

Therefore, the correct answer is 33/100.

Hope this helps! :D

3.3 repeating in fraction form will be 33/100.

The correct answer is 33/100.

Given, 3.3 in repeating form.

To transform a decimal into a fraction, follow the steps below:

Change the Fraction into a Decimal:

3.30 = 33/100

Find the GCF of both numbers:

The GCF (Greatest Common Factor) of 33 and 10 is 1.

Divide both numbers by the GCF:

3.30 = 33/1  ÷ 100/1

= 33/100

Therefore, the correct answer is 33/100.

Know more about fraction,

https://brainly.com/question/8482939

#SPJ6

Express the ratio 12:3:9 in its simplest form​

Answers

Answer:

4:1:3

Step-by-step explanation:

The number of girl child per family was recorded for 1000 families with 3 children. The data obtained was as follows: [2] Number of Girls 0 1 2 3 Number of Families 112 314 382 192 Suppose a family is chosen at random, find the probability that it has: (a). At most one girl (b). More girls than boys

Answers

Answer:

[tex]a.\ Probability = 0.426[/tex]

[tex]b.\ Probability = 0.574[/tex]

Step-by-step explanation:

Given

[tex]Total\ Families = 1000[/tex]

Number of Girls :      0 ---->  1 -----> 2   ------->3

Number of Families: 112 -> 314 --> 382 ---> 192

Solving (a): At most one girl

From the table, the number of families with at most one girl is: 112 + 314

i.e.

Number of Girls :      0 ---->  1

Number of Families: 112 -> 314

So, we have:

[tex]At\ Most\ One\ Girl = 112 + 314[/tex]

[tex]At\ Most\ One\ Girl = 426[/tex]

The probability is then calculated as:

[tex]Probability = \frac{At\ Most\ One\ Girl}{Total}[/tex]

[tex]Probability = \frac{426}{1000}[/tex]

[tex]Probability = 0.426[/tex]

Solving (b): More girls

From the table, the number of families with more girl is: 382 + 192

i.e.

Number of Girls :      -----> 2   ------->3

Number of Families: --> 382 ---> 192

So, we have:

[tex]More\ Girls = 382 + 192[/tex]

[tex]More\ Girls = 574[/tex]

The probability is then calculated as:

[tex]Probability = \frac{More\ Girls}{Total}[/tex]

[tex]Probability = \frac{574}{1000}[/tex]

[tex]Probability = 0.574[/tex]

The diffrence between 9 and half of a number is 16 what is the number?

Answers

Answer:

is this how the question is really wrote out. it doesn't look like english

Step-by-step explanation:

half of 9 is 4.5

If I understood the question correctly, the number would be 50.

Half of 50 is 25, and the difference between 25 and 9 is 16. I hope this helps! :)

In a candy mix there are 4 green bars for every 3 red bars. How many red bars are there if there are 200 green bars? A. 150 red bar's B. 199 red bars c.201 red bars d. 267 red bars​

Answers

Step-by-step explanation:

4 green bars to 3 red bars

=> 200 green bars to 3 * (200/4) = 150 red bars.

There are 150 red bars. (A)

Answer:

Step-by-step explanation:

A - 150 is the a answer

4 green bars for every 3 red bars, take 3 red bars as one bucket so total we have 200/4 buckets which is 50

now 1 bucket has 3 green bars so total we have 3* 50 buckets which is 150

Please help :((( will mark brainliest !

Answers

Answer: i think its c

hope its right

:)

Please help me choose the right equation!!! I’m a taking a test and really want to pass!!!

Answers

Answer:

Step-by-step explanation:

B Print
Find the slope of the line.
12
11
10
9
4
2
ol
5
9 10
The slope is

Answers

The slope is 3. Brainliest please :)

I need help pls with this question

Answers

You will need 3 gallons of paint or 6/2 because 1/2 * 2=1

Red snapper cost $4.15 per pound find the cost of 3.5 pound round to the nearest cent

Answers

Answer:

$14.53 for 3.5 pounds of red snapper

Step-by-step explanation:

Answer:

14.52?

Step-by-step explanation:

i multiplied 4.15 by 3.5

3y + 20 = 3 + 2y
A. -1/17
B.7 2/3
C. 23
D. -17

Answers

I PROMISE THE ANSWER IS D.

Giving brainliest help I need it, ignore answers I put unless their right

Answers

Answer:

For the middle one 20 /9  or 2 and 2/9

Step-by-step explanation:

20 /9  or 2 and 2/9

Do you need help with the rest or no?

WILL GIVE BRAINLIEST!!! Which equation is modeled below? 4 x tiles and 2 negative 1 tiles = 2 x tiles and 4 1 tiles. 2 x + (negative 2) = negative 2 x + 6 4 x + (negative 2) = negative 2 x + 6 2 x + 4 = 6 x + 2 Negative 2 x + 4 = 6 x + (negative 2)

Answers

Answer:

B

Step-by-step explanation:

4x+ (-2) =-2x+6

just took the quiz

Answer:

B) 4 x + (-2) = -2 x + 6

Step-by-step explanation:

Using Point Slope Formula, write an equation that passes through (-2, 6) and ( 8, 9)

Answers

Answer:

y - 9 = 3/10(x - 8)

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to Right

Algebra I

Slope Formula: [tex]\displaystyle m=\frac{y_2-y_1}{x_2-x_1}[/tex]

Point-Slope Form: y - y₁ = m(x - x₁)  

x₁ - x coordinate y₁ - y coordinate m - slope

Step-by-step explanation:

Step 1: Define

Point (-2, 6)

Point (8, 9)

Step 2: Find slope m

Simply plug in the 2 coordinates into the slope formula to find slope m

Substitute [SF]:                    [tex]\displaystyle m=\frac{9-6}{8+2}[/tex]Subtract/Add:                      [tex]\displaystyle m=\frac{3}{10}[/tex]

Step 3: Write Function

Plug in variables into general form.

y - 9 = 3/10(x - 8)

y - 6 = 3/10(x + 2)

Please HELP ASSSP!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!

Answers

Answer:

There are 96 more freshmen than juniors. the answer is D: 96

Step-by-step explanation:

28% and 22%

28 - 22 = 6

6% of 1,600 = 96

6% = 0.06

0.06 x 1,600 = 96

There are 96 more freshmen than juniors.

I hope this helped and if it did I would appreciate it if you marked me Brainliest. Thank you and have a nice day!

MATH PLS HELPPP BRANLIETS 5 POINTS!!!!!!!!!!

Answers

Answer:

A?

Step-by-step explanation:

I think it is A but I'm not 100% sure

Answer:

The total cost of riding in the taxi

Step-by-step explanation:

What is 3 2/5 / 6 plz help!!!

Answers

Answer:

The answer is 0.56 the 6 is repeating

Step-by-step explanation:

Answer:

0.56666666666

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