Question

He expression $130-60t$130−60t represents the distance, in miles, the counselor still needs to drive after $t$t hours.

What does the $60$60 in the expression represent?

Answer 1

Speed of the counselor is represented by 60 and is equal to 60 mph

Explanation:

Given:

The expression that represents the distance, in miles, the counselor still needs to drive after 't' hours is given as:

`d=130-60t\\d=-60t+130`

The above expression is of the form of a standard linear equation:

`y=mx+b`

Here, 'm' represents the slope or rate of change of 'y' with 'x' and 'b' is the y-intercept or initial value of 'y' when 'x' was 0.

On comparing the standard equation with the given equation, we conclude that:

`m=-60`

Therefore, the slope here represents the change in distance with time 't'.

We know that, change in distance with time is nothing but the speed.

So, the speed of the counselor is 60 mph.

Therefore, the term 60 represents the speed of the counselor.