the graph below represents the number of miles, y, that the satellite space explorer flies in x hours. find…

the graph below represents the number of miles, y, that the satellite space explorer flies in x hours. find the rate of change.

the graph below represents the number of miles, y, that the satellite space explorer flies in x hours. find the rate of change.

Answer

Explanation:

Step1: Recall rate - of - change formula

The rate of change (slope) of a line is given by $m=\frac{y_2 - y_1}{x_2 - x_1}$, where $(x_1,y_1)$ and $(x_2,y_2)$ are two points on the line.

Step2: Identify two points

We have the points $(x_1,y_1)=(5,44000)$ and $(x_2,y_2)=(10,88000)$.

Step3: Substitute values into formula

$m=\frac{88000 - 44000}{10 - 5}=\frac{44000}{5}$.

Step4: Calculate the result

$m = 8800$ miles per hour.

Answer:

8800 miles per hour