Find the average rate of change

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Reference no: EM131789486

Diabetes

The figure shows the percent of the U.S. population with diabetes (diagnosed and undiagnosed) for selected years from 2010 and projections to 2050. Assume 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.

2331_percent of the U.S. population with diabetes.png

(a) Use the figure to find the average rate of change from 2010 to 2050.

(b) Use the model to find the instantaneous rate of change of the U.S. population with diabetes in 2020. Is the average rate found in part (a) a good approximation of the 2020 instantaneous rate?

(c) Use the model to find and interpret the instantaneous rate of change of the percent of the U.S. population with diabetes in 2050.

Reference no: EM131789486

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