## Algebra 1

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.