
Concept explainers
Nutrition. As people age their daily caloric needs change. The following table shows data for physically active females, relating age, in years, to number of calories needed daily.
Age | Number of Calories Needed Daily |
6 | 1800 |
11 | 2200 |
16 | 2400 |
24 | 2400 |
41 | 2200 |
(Source: Based on data from US Department of Agriculture) |
a. Make a
b. Do the data appear to fit a quadratic function?
c. Using the data points (6, 1800), (16, 2400), and (41, 2200), find a quadratic function that fits the data.
d. Use the function from part (c) to predict the number of calories needed daily by a physically active 30 yr-old woman.
e. What restrictions are reasonable for the domain of the function from part (c)? Why?

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