Chapter 5.3, Problem 34P

Hudson is already 40 miles away from home on his drive back to college. He is driving $65\text{mi}/\text{h}$.

Write an equation that models the total distance $d$ travelled after $h$ hours. What is the graph of the equation?

To determine

To determine the equation and the graph it.

Explanation of Solution

Given:

Hudson is $40$ miles away from his house.

He is driving $65$ mi/h.

Formula used:

Distance = Speed × time

Calculation for graph:

So, total distance = d miles.

Hudson covers $65$ miles in one hour.

Hence, Hudson will cover $65h$ miles in h hours. [ $\because$ Distance = Speed × time]

Therefore, the total distance is $d=65h+40$ .

Graph:

  

Interpretation:

From the graph it can be observed that the horizontal extent of the graph is from $-\infty$ to $\infty$ .

And the vertical extent of the graph is also from $-\infty$ to $\infty$ .

So, both the domain and range of the function is $(-\infty ,\infty )$ .