Chapter 9.4, Problem 12IP

To determine

To determine whether pears or applehas lower price.

Answer to Problem 12IP

Cost of pears is more than apple.

Explanation of Solution

Given information:

The equation of pears,

  $y=0.95x$

where $y=\text{cost}$ and $x=\text{price}$

The given graph for an apple.

  

Calculations:

The fruit has lower price out from pears and apple.

For Pears,

  $\begin{array}{l}y=0.95x\\ \text{slope}\text{for}\text{Pears}=0.95\end{array}$

For Apple,

Taking any two points from the given graph of apple.

  $(0.5,0.40)$ and $(1.25,1)$

Here, we are Calculate the slope from these given points.

  $\begin{array}{l}m=\frac{y_2-y_1}{x_2-x_1}\\ m=\frac{1-0.40}{1.25-0.5}\\ m=\frac{0.60}{0.75}\\ m=0.8\\ \text{slope}\text{for}\text{apple}=0.8\end{array}$

Since slope of Pears is more than apple.

Therefore,

Cost of Pears is more than apple.