Chapter 4.1, Problem 16CYU

To determine

The total number of miles $\left(m\right)$ travelled after $\left(d\right)$ days.

Answer to Problem 16CYU

The equation is $m=350d+240$ .

Explanation of Solution

Given:

Distance travelled each day is 350 miles and 240 miles initially.

Calculation:

Considering that the number of days are $\left(d\right)$ in which each day the distance travelled is 350 miles. And initial distance travelled is 240 miles. Therefore, the equation for the total number of miles $\left(m\right)$ travelled for $\left(d\right)$ days can be written as,

  $m=350d+\mathrm{240......}\left(\text{Point-slope form}\right)\mathrm{....}\left(1\right)$

To determine

The graph of the equation.

Explanation of Solution

Given:

Distance travelled each day is 350 miles and 240 miles initially.

Graph: The graph for the equation (1) $m=350d+240$ is shown.

  

To determine

If Miami to New York is 1293 miles apart, then find how long will the drive take.

Answer to Problem 16CYU

It will take 3 days.

Explanation of Solution

Given:

Distance travelled each day is 350 miles and 240 miles initially.

Calculation:

From (1), plugging for $\left(m=1293\right)$ gives the time taken to drive from Miami to New York.

  $\begin{array}{c}\left(1293\right)=350\left(d\right)+240\\ d=3\text{days}\mathrm{......}\left(\text{Approx}\text{.}\right)\end{array}$