A pediatrician records the age x (in yr) and average height y (in inches) for girls between the ages of 2 and 10. Height (in.) 50- y Height of Girls vs. Age (7,48) 40- (3,38) 30- 20 10- 2 6 8 10 Age(yr) X (a) Use the points (3, 38) and (7, 48) to write a linear model for these data. (b) Interpret the meaning of the slope in the context. (c) Use the model to forecast the average height of 11-yr-old girls. Round all calculations to the nearest hundredth of an inch, if necessary. (d) If the height of a girl at age 11 is 90% of her full-grown adult height, use the result of part (c) to estimate the average height of adult women. Round to the nearest tenth of an inch. CYDIANATION.

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter7: Analytic Trigonometry
Section7.6: The Inverse Trigonometric Functions
Problem 94E
Question
A pediatrician records the age x (in yr) and average height y (in inches) for girls between the ages of 2 and 10.
Height (in.)
50-
y
Height of Girls vs. Age
(7,48)
40-
(3,38)
30-
20
10-
2
6
8
10
Age(yr)
X
(a) Use the points (3, 38) and (7, 48) to write a linear model for these data.
(b) Interpret the meaning of the slope in the context.
(c) Use the model to forecast the average height of 11-yr-old girls. Round all calculations to the nearest hundredth of an inch, if necessary.
(d) If the height of a girl at age 11 is 90% of her full-grown adult height, use the result of part (c) to estimate the average height of adult women. Round to the
nearest tenth of an inch.
CYDIANATION.
Transcribed Image Text:A pediatrician records the age x (in yr) and average height y (in inches) for girls between the ages of 2 and 10. Height (in.) 50- y Height of Girls vs. Age (7,48) 40- (3,38) 30- 20 10- 2 6 8 10 Age(yr) X (a) Use the points (3, 38) and (7, 48) to write a linear model for these data. (b) Interpret the meaning of the slope in the context. (c) Use the model to forecast the average height of 11-yr-old girls. Round all calculations to the nearest hundredth of an inch, if necessary. (d) If the height of a girl at age 11 is 90% of her full-grown adult height, use the result of part (c) to estimate the average height of adult women. Round to the nearest tenth of an inch. CYDIANATION.
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