An additive to puppy food is shown to increase weight gain in underweight puppies when it is mixed with standard food. What mixture results in highest weight gain for the average puppy? Data are collected from a study of eight puppies fed with different percentages of additive.

a. Find quadratic and cubic models for these data.
b. Use each model to find the predicted percentage that produces the greatest weight gain.
c. How much difference is there in each of these predictions?

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| Percentage additivex Weight gain (ko) 20% 20% | 40% | 40% | 60% | 60% | 80% | 80% 4.1 6.2 6.5 7.3 .4.8 0.5 1.2