The average rate of change from 2010 to 2050. The figure shows the percent of the U.S. population with diabetes for selected years from 2010 and projections to 2050. Assume that this percent can be modeled by y = 6.97 ( 0.5 x + 5 ) 0.495 where y is the percent and x is the number of years past 2010.

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Answer 1

Question

Chapter 9.6, Problem 54E

(a)

To determine

To calculate: The average rate of change from 2010 to 2050. The figure shows the percent of the U.S. population with diabetes for selected years from 2010 and projections to 2050. Assume that this percent can be modeled by y=6.97(0.5x+5)0.495 where y is the percent and x is the number of years past 2010.

(b)

To determine

To calculate: The instantaneous rate of change of the U.S. population with diabetes in 2020. Also, determine if the average rate of change from 2010 to 2050 a good approximation of the 2020 instantaneous rate. The figure shows the percent of the U.S. population with diabetes for selected years from 2010 and projections to 2050. Assume that this percent can be modeled by y=6.97(0.5x+5)0.495 where y is the percent and x is the number of years past 2010.

(c)

To determine

To calculate: The instantaneous rate of change of the percent of the U.S. population with diabetes in 2050. The figure shows the percent of the U.S. population with diabetes for selected years from 2010 and projections to 2050. Assume that this percent can be modeled by y=6.97(0.5x+5)0.495 where y is the percent and x is the number of years past 2010. Interpret the answer.

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Answer 2

Question

Chapter 9.6, Problem 54E

(a)

To determine

To calculate: The average rate of change from 2010 to 2050. The figure shows the percent of the U.S. population with diabetes for selected years from 2010 and projections to 2050. Assume that this percent can be modeled by y=6.97(0.5x+5)0.495 where y is the percent and x is the number of years past 2010.

(b)

To determine

To calculate: The instantaneous rate of change of the U.S. population with diabetes in 2020. Also, determine if the average rate of change from 2010 to 2050 a good approximation of the 2020 instantaneous rate. The figure shows the percent of the U.S. population with diabetes for selected years from 2010 and projections to 2050. Assume that this percent can be modeled by y=6.97(0.5x+5)0.495 where y is the percent and x is the number of years past 2010.

(c)

To determine

To calculate: The instantaneous rate of change of the percent of the U.S. population with diabetes in 2050. The figure shows the percent of the U.S. population with diabetes for selected years from 2010 and projections to 2050. Assume that this percent can be modeled by y=6.97(0.5x+5)0.495 where y is the percent and x is the number of years past 2010. Interpret the answer.

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Answer 3

Question

Chapter 9.6, Problem 54E

(a)

To determine

To calculate: The average rate of change from 2010 to 2050. The figure shows the percent of the U.S. population with diabetes for selected years from 2010 and projections to 2050. Assume that this percent can be modeled by y=6.97(0.5x+5)0.495 where y is the percent and x is the number of years past 2010.

(b)

To determine

To calculate: The instantaneous rate of change of the U.S. population with diabetes in 2020. Also, determine if the average rate of change from 2010 to 2050 a good approximation of the 2020 instantaneous rate. The figure shows the percent of the U.S. population with diabetes for selected years from 2010 and projections to 2050. Assume that this percent can be modeled by y=6.97(0.5x+5)0.495 where y is the percent and x is the number of years past 2010.

(c)

To determine

To calculate: The instantaneous rate of change of the percent of the U.S. population with diabetes in 2050. The figure shows the percent of the U.S. population with diabetes for selected years from 2010 and projections to 2050. Assume that this percent can be modeled by y=6.97(0.5x+5)0.495 where y is the percent and x is the number of years past 2010. Interpret the answer.

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Answer 4

Question

Chapter 9.6, Problem 54E

(a)

To determine

To calculate: The average rate of change from 2010 to 2050. The figure shows the percent of the U.S. population with diabetes for selected years from 2010 and projections to 2050. Assume that this percent can be modeled by y=6.97(0.5x+5)0.495 where y is the percent and x is the number of years past 2010.

(b)

To determine

To calculate: The instantaneous rate of change of the U.S. population with diabetes in 2020. Also, determine if the average rate of change from 2010 to 2050 a good approximation of the 2020 instantaneous rate. The figure shows the percent of the U.S. population with diabetes for selected years from 2010 and projections to 2050. Assume that this percent can be modeled by y=6.97(0.5x+5)0.495 where y is the percent and x is the number of years past 2010.

(c)

To determine

To calculate: The instantaneous rate of change of the percent of the U.S. population with diabetes in 2050. The figure shows the percent of the U.S. population with diabetes for selected years from 2010 and projections to 2050. Assume that this percent can be modeled by y=6.97(0.5x+5)0.495 where y is the percent and x is the number of years past 2010. Interpret the answer.

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Answer 5

Chapter 9.6, Problem 54E

(a)

To determine

To calculate: The average rate of change from 2010 to 2050. The figure shows the percent of the U.S. population with diabetes for selected years from 2010 and projections to 2050. Assume that this percent can be modeled by y=6.97(0.5x+5)0.495 where y is the percent and x is the number of years past 2010.

(b)

To determine

To calculate: The instantaneous rate of change of the U.S. population with diabetes in 2020. Also, determine if the average rate of change from 2010 to 2050 a good approximation of the 2020 instantaneous rate. The figure shows the percent of the U.S. population with diabetes for selected years from 2010 and projections to 2050. Assume that this percent can be modeled by y=6.97(0.5x+5)0.495 where y is the percent and x is the number of years past 2010.

(c)

To determine

To calculate: The instantaneous rate of change of the percent of the U.S. population with diabetes in 2050. The figure shows the percent of the U.S. population with diabetes for selected years from 2010 and projections to 2050. Assume that this percent can be modeled by y=6.97(0.5x+5)0.495 where y is the percent and x is the number of years past 2010. Interpret the answer.

Answer 6

Chapter 9.6, Problem 54E

(a)

To determine

To calculate: The average rate of change from 2010 to 2050. The figure shows the percent of the U.S. population with diabetes for selected years from 2010 and projections to 2050. Assume that this percent can be modeled by y=6.97(0.5x+5)0.495 where y is the percent and x is the number of years past 2010.

Answer 7

Chapter 9.6, Problem 54E

(a)

To determine

To calculate: The average rate of change from 2010 to 2050. The figure shows the percent of the U.S. population with diabetes for selected years from 2010 and projections to 2050. Assume that this percent can be modeled by y=6.97(0.5x+5)0.495 where y is the percent and x is the number of years past 2010.

Answer 8

(b)

To determine

To calculate: The instantaneous rate of change of the U.S. population with diabetes in 2020. Also, determine if the average rate of change from 2010 to 2050 a good approximation of the 2020 instantaneous rate. The figure shows the percent of the U.S. population with diabetes for selected years from 2010 and projections to 2050. Assume that this percent can be modeled by y=6.97(0.5x+5)0.495 where y is the percent and x is the number of years past 2010.

Answer 9

(b)

To determine

To calculate: The instantaneous rate of change of the U.S. population with diabetes in 2020. Also, determine if the average rate of change from 2010 to 2050 a good approximation of the 2020 instantaneous rate. The figure shows the percent of the U.S. population with diabetes for selected years from 2010 and projections to 2050. Assume that this percent can be modeled by y=6.97(0.5x+5)0.495 where y is the percent and x is the number of years past 2010.

Answer 10

(c)

To determine

To calculate: The instantaneous rate of change of the percent of the U.S. population with diabetes in 2050. The figure shows the percent of the U.S. population with diabetes for selected years from 2010 and projections to 2050. Assume that this percent can be modeled by y=6.97(0.5x+5)0.495 where y is the percent and x is the number of years past 2010. Interpret the answer.

Answer 11

(c)

To determine

To calculate: The instantaneous rate of change of the percent of the U.S. population with diabetes in 2050. The figure shows the percent of the U.S. population with diabetes for selected years from 2010 and projections to 2050. Assume that this percent can be modeled by y=6.97(0.5x+5)0.495 where y is the percent and x is the number of years past 2010. Interpret the answer.

Answer 12

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Answer 13

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Answer 14

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Answer 15

Ch. 9.1 - 1. Can exist if is undefined? Ch. 9.1 - 2. Does exist if ? Ch. 9.1 - 3. Does Ch. 9.1 - 4. If , does exist? Ch. 9.1 - 5. Let (a) Does (b) Find . Ch. 9.1 - 6. Evaluate the following limits (if they...Ch. 9.1 - Prob. 7CP Ch. 9.1 - Prob. 8CP Ch. 9.1 - Prob. 9CP Ch. 9.1 - Prob. 10CP

The average rate of change from 2010 to 2050. The figure shows the percent of the U.S. population with diabetes for selected years from 2010 and projections to 2050. Assume that this percent can be modeled by y = 6.97 ( 0.5 x + 5 ) 0.495 where y is the percent and x is the number of years past 2010.

Solution Summary: The author calculates the percent of the U.S. population with diabetes for selected years from 2010 and projections to 2050.

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