Question

$\text {Use a calculator with an }\left[e^{x}\right] \text { key to solve}$. Average annual premiums for employer-sponsored family health insurance policies more than doubled over 11 years. The bar graph shows the average cost of a family health insurance plan in the United States for six selected years from 2000 through 2011 . (BAR GRAPH CAN'T COPY) The data can be modeled by $$f(x)=782 x+6564 \text { and } g(x)=6875 e^{0.077 x}$$ in which $f(x)$ and $g(x)$ represent the average cost of a family health insurance plan $x$ years after $2000 .$ Use these functions to solve.Where necessary, round answers to the nearest whole dollar. a. According to the linear model, what was the average cost of a family health insurance plan in $2011 ?$ b. According to the exponential model, what was the average cost of a family health insurance plan in $2011 ?$ c. Which function is a better model for the data in $2011 ?$

          $\text {Use a calculator with an }\left[e^{x}\right] \text { key to solve}$.
Average annual premiums for employer-sponsored family health insurance policies more than doubled over 11 years. The bar graph shows the average cost of a family health insurance plan in the United States for six selected years from 2000 through 2011 .
(BAR GRAPH CAN'T COPY)
The data can be modeled by
$$f(x)=782 x+6564 \text { and } g(x)=6875 e^{0.077 x}$$
in which $f(x)$ and $g(x)$ represent the average cost of a family health insurance plan $x$ years after $2000 .$ Use these functions to solve.Where necessary, round answers to the nearest whole dollar.

a. According to the linear model, what was the average cost of a family health insurance plan in $2011 ?$
b. According to the exponential model, what was the average cost of a family health insurance plan in $2011 ?$
c. Which function is a better model for the data in $2011 ?$

Added by Paul C.

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