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.

Question

Want to see the full answer?

Answer 1

Question

Chapter 9.6, Problem 56E

(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.

Expert Solution & Answer

Want to see the full answer?

Check out a sample textbook solution

See solution

Students have asked these similar questions

The correct answer is Ccould you show me how to do it by finding a0 and and akas well as setting up the piecewise function and integrating

This is an example only. What can be a simialr equation with differnet numbers using logs and can have a mistake in one of the steps and what will be the correct way to solve it. Thanks

T 1 7. Fill in the blanks to write the calculus problem that would result in the following integral (do not evaluate the interval). Draw a graph representing the problem. So π/2 2 2πxcosx dx Find the volume of the solid obtained when the region under the curve on the interval is rotated about the axis.

Answer 2

Question

Chapter 9.6, Problem 56E

(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.

Expert Solution & Answer

Want to see the full answer?

Check out a sample textbook solution

See solution

Answer 3

Question

Chapter 9.6, Problem 56E

(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.

Expert Solution & Answer

Want to see the full answer?

Check out a sample textbook solution

See solution

Answer 4

Question

Chapter 9.6, Problem 56E

(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.

Expert Solution & Answer

Want to see the full answer?

Check out a sample textbook solution

See solution

Answer 5

Chapter 9.6, Problem 56E

(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 56E

(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 56E

(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

Expert Solution & Answer

Answer 13

Expert Solution & Answer

Answer 14

Want to see the full answer?

Check out a sample textbook solution

See solution

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.

Concept explainers

Videos

Want to see the full answer?

Chapter 9 Solutions