Chapter 4.6, Problem 4STP

Solve each exercise and enter your answer on the grid provided.

When Jerome travels on the highway, he sets his cruise control at $65\text{mi}/\text{h}$.

The function $f(x)=65x$ represents his total distance $f(x)$

when he has traveled $x$ hours. How many miles will he have travelled after 3.5 hours of driving on the highway?

To determine

To find:The distance Jerome has travelled after 3.5 hours of driving in the highway.

Answer to Problem 4STP

Jerome has travelled 227.5 miles.

Explanation of Solution

Given information:When Jerome travels on the highway, he sets his cruise control at 65 mi/h. The function $f(x)=65x$ represents his total distance $f(x)$ when he has travelled $x$ hours.

Calculation:The distance travelled in $x$ hours is $f(x)=65x$

Then, the distance travelled in 3.5 hours is given by,

  $\begin{array}{l}f(x)=65x\\ \Rightarrow f(3.5)=65\times 3.5\\ \Rightarrow f(3.5)=227.5\end{array}$

Thus, Jerome has travelled 227.5 miles after 3.5 hours of driving in the highway.