Answer:
The value 60 represents the speed of the vehicle the counselor is driving.
Step-by-step explanation:
Linear Function
The linear relationship between two variables d and t can be written in the form
[tex]d=mt+b[/tex]
Where m is the slope (or rate of change of d with respect to t) and b is the y-intercept or the point where the graph of the line crosses the y-axis
The function provided in our problem is
[tex]d=130-60t[/tex]
Where d is the distance in miles the counselor still needs to drive after t hours. Rearranging the expression:
[tex]d=-60t+130[/tex]
Comparing with the general form of the line we can say m=-60, b=130. The value of -60 is the slope or the rate of change of d with respect to t. Since we are dealing with d as a function of time, that value represents the speed of the vehicle the counselor is driving. It's negative because the distance left to drive decreases as the time increases
