The following graph shows the weight measurements of the average infant from the time of birth (t = 0) through age 2 (t = 24). Average weight of infants (in pounds) 30 22.5 20+ 10 7.5+ 5 7.5 T₁ X lb/month X lb/month 6 3.5 2 4 6 8 10 12 14 16 18 20 22 24 Months 7₂ By computing the slopes of the respective tangent lines, estimate the rate of change (in lb/month) of the average infant's weight when t = 3 and when t = 18. (Round your answers to one decimal place as needed.) t = 3 t = 18 What is the average rate of change (in lb/month) in the average infant's weight over the first year after birth? (Round your answer to one decimal place as needed.) X lb/month

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter7: Analytic Trigonometry
Section7.6: The Inverse Trigonometric Functions
Problem 94E
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how to solve for the average rate of change.

The following graph shows the weight measurements of the average infant from the time of birth (t = 0) through age 2 (t = 24).
Average weight of infants (in pounds)
30
22.5
20
10
7.5-
5
7.5
T₁
6
lb/month
X lb/month
3.5
+
2 4 6 8 10 12 14 16 18 20 22 24
3
Months
t
T₂
By computing the slopes of the respective tangent lines, estimate the rate of change (in lb/month) of the average infant's weight when t = 3 and when t = 18. (Round your answers to one decimal
place needed.)
t = 3
t = 18
What is the average rate of change (in lb/month) in the average infant's weight over the first year after birth? (Round your answer to one decimal place as needed.)
X lb/month
Transcribed Image Text:The following graph shows the weight measurements of the average infant from the time of birth (t = 0) through age 2 (t = 24). Average weight of infants (in pounds) 30 22.5 20 10 7.5- 5 7.5 T₁ 6 lb/month X lb/month 3.5 + 2 4 6 8 10 12 14 16 18 20 22 24 3 Months t T₂ By computing the slopes of the respective tangent lines, estimate the rate of change (in lb/month) of the average infant's weight when t = 3 and when t = 18. (Round your answers to one decimal place needed.) t = 3 t = 18 What is the average rate of change (in lb/month) in the average infant's weight over the first year after birth? (Round your answer to one decimal place as needed.) X lb/month
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