The average annual cost (in dollars) for health insurance in a country can be approximated by the function g(x)= − 1736.8+1661.2 In x, where x = 6 corresponds to the year 2006. (a) Estimate the average cost in 2010. (b) Graph the function g for the period 2006 to 2015 (c) Assuming that the graph remains accurate, what does the shape of the graph suggest regarding the average cost of health insurance? (a) First substitute the x-value that corresponds to the year 2010 into the equation. g(x)=-1736.8+(1661.2) (In 10) (Simplify your answer.) Next, evaluate the function. Use the calculator's manual to find and use the natural logarithm function of the calculator and evaluate. 1700.0 14004 D
The average annual cost (in dollars) for health insurance in a country can be approximated by the function g(x)= − 1736.8+1661.2 In x, where x = 6 corresponds to the year 2006. (a) Estimate the average cost in 2010. (b) Graph the function g for the period 2006 to 2015 (c) Assuming that the graph remains accurate, what does the shape of the graph suggest regarding the average cost of health insurance? (a) First substitute the x-value that corresponds to the year 2010 into the equation. g(x)=-1736.8+(1661.2) (In 10) (Simplify your answer.) Next, evaluate the function. Use the calculator's manual to find and use the natural logarithm function of the calculator and evaluate. 1700.0 14004 D
Chapter2: Functions And Their Graphs
Section2.4: A Library Of Parent Functions
Problem 47E: During a nine-hour snowstorm, it snows at a rate of 1 inch per hour for the first 2 hours, at a rate...
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how does g(6)=-1736/8+1661.2 ln 6=1239.67 ? ?
even when i type this in my calculator i get a complete different answer
maybe im plugging it in wrong?my hw suggests thats the only correct answer
Transcribed Image Text:The average annual cost (in dollars) for health insurance in a country can be approximated by the function g(x)=-1736.8+1661.2 In x, where x = 6 corresponds to the year 2006.
(a) Estimate the average cost in 2010.
(b) Graph the function g for the period 2006 to 2015
(c) Assuming that the graph remains accurate, what does the shape of the graph
suggest regarding the average cost of health insurance?
(a) First substitute the x-value that corresponds to the year 2010 into the equation.
g(x)=1736.8+(1661.2) (In 10) (Simplify your answer.)
Next, evaluate the function. Use the calculator's manual to find and use the natural logarithm function of the calculator and evaluate.
g(x) = -1736.8+(1661.2)(In 10)
= 2088.25
(Round to two decimal places as needed.)
The average cost in 2010 was approximately $2088.25.
(b) To graph the function g(x), set up a table of x-values and determine the function values.
g(x)=1736.8 +1661.2 In x
g(6)=1736.8 +1661.2 In 6 =1239.67
X
6
Expert Solution
Step 1
Introduction:
Here the average annual cost (in dollars) for the health insurance in a country is given by the function.
Then to find the the average annual cost for any year just put the number corresponding to that year in
the given function.
Given: Average cost function;
To find: Average cost for year 2010.
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