Ron flies his airplane 20 km over the ground. He gains 800 m in altitude over the flight. What is the slope of the line segment representing the flight.
Answers
Answer:
this might help.......
Step-by-step explanation:
...
The slope of the line segment representing the flight is 0.04.
The slope of a line segment is calculated by dividing the change in the vertical direction (the altitude) by the change in the horizontal direction (the distance traveled). In this case, the change in the vertical direction is 800 meters (800 / 1000 = 0.8 kilometers) and the change in the horizontal direction is 20 kilometers. Therefore, the slope of the line segment is 0.8 / 20 = 0.04.
In other words, for every kilometer that Ron travels, he gains 4 meters in altitude.
Here is the solution in more detail:
Define the variables.
x: The distance traveled in kilometers.
y: The altitude in meters.
Write the equation for the line segment.
The slope of the line segment is 0.04, so the equation for the line segment is y = 0.04x + b.
We know that when x = 0, y = 0, so b = 0.
Substitute the known values into the equation.
We know that x = 20 and y = 800, so we can substitute these values into the equation to get 800 = 0.04 * 20 + 0.
Simplifying the right side of the equation, we get 800 = 0.8.
Solve for the slope.
The slope is 0.8 / 20 = 0.04.
Therefore, the slope of the line segment representing the flight is 0.04.
To learn more about slope here:
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