Mr. Williams is driving on a highway at an average speed of 50 miles per hour. His destination is 100 miles away. The equation d - 100 - 50t gives the distance d (in miles) that he has left to travel as a function of the time t (in hours) that h
been driving. Write and interpret the inverse of this function (2 points per part).

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Initial distance is 2 miles and the average speed is miles per hour. So, d is distance in miles that he has left to travel as a function of the time t (in hours).

Step-by-step explanation:

It is given that, mr. Williams is driving on a highway at an average speed of 50 miles per hour. His destination is 100 miles away.

The equation of distance is

    ...(1)

where, d is distance in miles that he has left to travel as a function of the time t (in hours).

We need to find the inverse of the above function.

To find the inverse, interchange variables in (1) and isolate variable d on one side.

Subtract 100 from both sides in equation (1).

Divide both sides by -50.

So, the inverse function is .

Here, the initial distance is 2 miles and the average speed is miles per hour. So, d is distance in miles that he has left to travel as a function of the time t (in hours).

the graph in the attached figure

step-by-step explanation:

we have

using a graphing tool

the graph in the attached figure

the roots are ( x-intercepts) x=-0.5,x=1,x=3

the y-intercept is the point (0,3)