Question

A camp counselor starts from home and drives to a campground. The expression 130−60t represents the distance, in miles, the counselor still needs to drive after t hours.
What does the 60 in the expression represent?

Answer 1

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

$d=mt+b$

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

$d=130-60t$

Where d is the distance in miles the counselor still needs to drive after t hours. Rearranging the expression:

$d=-60t+130$

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