23. Nutrition. As people age, their daily caloric needs change. The following table shows data for physically ac tive females, relating age, in years, to number of calorie needed daily. NUMBER OF CALORIES AGE NEEDED DAILY 6 1800 11 2200 16 2400 24 2400 41 2200 (Source: Based on data from U.S. Department of Agriculture.) a) Make a scatterplot of the data. 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 (e) 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?
23. Nutrition. As people age, their daily caloric needs change. The following table shows data for physically ac tive females, relating age, in years, to number of calorie needed daily. NUMBER OF CALORIES AGE NEEDED DAILY 6 1800 11 2200 16 2400 24 2400 41 2200 (Source: Based on data from U.S. Department of Agriculture.) a) Make a scatterplot of the data. 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 (e) 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?
Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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Transcribed Image Text:23. Nutrition. As people age, their daily caloric needs
change. The following table shows data for physically ac
tive females, relating age, in years, to number of calorie
needed daily.
NUMBER OF CALORIES
AGE
NEEDED DAILY
6
1800
11
2200
16
2400
24
2400
41
2200
(Source: Based on data from U.S.
Department of Agriculture.)
a) Make a scatterplot of the data.
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 (e) 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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