Chapter 8, Problem 14STP

A.

To determine

Write an equation in slope intercept form to show the toartl cost of renting a van and driving it $x$ miles.

Answer to Problem 14STP

The equation is $y=0.15x+40$ .

Explanation of Solution

Given:

Rental Charges: $\$40.$

Per Media $\$0.15$ miles.

Concept Used:

Slope Intercept:

  $y=mx+b$

Where,

Slope: $m$

  $y$ -intercept: $b$

Explaination:

The linear equation that follows the slope intercept form is,

  $y=mx+b$

Where $y:$ is the Y-coordinate of a point, $m:$ isz the slope$x$ is the X-Coordinate of a point.

  $b$ is the Y-coordinate.

  $y=0.15x+40$

The rate in this problem is $\$0.15$ per mile as this will be considered the slope. Anadditiaonl charge of $\$40$ is to rent the van will be the Y-coordinate.

Conclusion:

Hence, the equation is $y=0.15x+40$

B.

To determine

Total miles of the amount marcos drive the van.

Answer to Problem 14STP

Macros drove $88miles.$

Explanation of Solution

Given:

Rental Charges: $\$\mathrm{53.20.}$

Concept Used:

Slope Intercept:

  $y=mx+b$

Where,

Slope: $m$

  $y$ -intercept: $b$

Calculation:

Using the equationa as solved plug in the value of the cost of $\$53.20$ as $y$ then solve for $x$ for the miles driven.

  $\begin{array}{l}y=0.15x+40\\ 53.2=0.15x+40\\ 53.2-40=0.15x\\ 0.15x=13.2\\ x=88\end{array}$

Conclusion:

Hence, Macros drove $88miles.$