Answer
To lower the height of the vinegar in the jar with pickle to 4 inches, you must eat 3 chips.
The maximum value of p on the horizontal value should be 21.
The reasonable values of p in this situation should from 0 to 21 pickle chips.
The graph of the function h(p)=4.75-022.p is below in the screenshot.
Work Step by Step
1. To lower the height of the vinegar in the jar with pickle to 4 inches, you must eat 3 chips as according to the graph when the y value is 4 inches, the number of pickles is 3.4 pickles and so you have to eat 3 pickels as you can't eat 0.4 of a pickle.
You can also solve this using the equation h=4.75-0.22p = 4
4-4.75=-0.22p
-0.75=-0.22p
$\frac{0.75}{0.22}$=p
p=3.4
2. The maximum value of p on the horizontal value should be 21 pickles because you can't have a negative height as the x-intercept is (21.591,0).
You can solve this using the equation as you would say h=0 because the max number of pickles should be when the height is 0.
0=4.75-0.22p
-4.75 = -0.22p
$\frac{-4.75}{-0.22}$=p
p=21.591
Therefore the max number of p is 21 because you can't eat a fraction of pickles.
3. The reasonable values of p in this situation should from 0 to 21 pickle chips because that is the domain for the function as at p=0 we have the maximum height and at t=21 we have the minimum height.
