Chapter 4.4, Problem 38PPE

To determine

To find: the maximum value of $p$ be on the horizontal axis and to find the reasonable values of $p$ in this situation.

Answer to Problem 38PPE

Eat 3 chips to lower the level of the vinegar in the jar.

Explanation of Solution

Given information:

Given function,

  $h=4.75-0.22p$

The height $h$ , in inches of the vinegar in the jars of pickle chips shown in figure depends on the number of chips $p$ eat.

  

Calculation:

Consider height of the vinegar in the jars of pickle chips is represented by $h$ and number of chips eat is represented by $p$

Since $h$ depends on $p$ . This situation is represented by function rule,

  $h=4.75-0.22p$

Height of the vinegar in bottle is 4 inches.

In order to find how many chips eat to lower the level of the vinegar in the substitute $h=4$ in this function rule and then solve for $p$ .

  $\begin{array}{c}h=4.75-0.22p\\ 4=4.75-0.22p\\ 4+0.22p=4.75\\ 0.22p=0.75\\ p=3.41\end{array}$

Thus, eat 3 chips to lower the level of the vinegar in the jar.