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20 of 30 (14 complete) This Test 175 pts possible The following table gives the

ID: 2912215 • Letter: 2

Question

20 of 30 (14 complete) This Test 175 pts possible The following table gives the monthly premiums for an insuranoe polcy on people of various ages a Find an exponential function that models the monthty premium as a tunction of age b. Find the quadratic function that is the best fit for the data c Graph each function with the data points to detemine which model is the betler fit Fulil data set a d 4 Age 122 65 lcula 50 a. The exponential function that models the data is y- (Use integers or decimals rounded to the nearest thousandth as noeded for any numbers in the expression) (Use integers or decimals rounded to the nearest thousendth as needed for any numbers in the expression uide c Choose the correct graph of the data and exponential function beloe ents OA 30 80 brar Click to select your answers)

Explanation / Answer

Go to http://xuru.org/rt/ExpR.asp

And enter thus :
(35,122)
(40,173)
(45,262)
(50,397)
(55,630)
(60,989)
(65,1531)
(70,2878)
(75,5550)

I get
y = 2.079 * e^(0.104x) ----> ANS

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b)
Go to this link :
http://xuru.org/rt/PR.asp

And enter in :
(35,122)
(40,173)
(45,262)
(50,397)
(55,630)
(60,989)
(65,1531)
(70,2878)
(75,5550)

I get
y = 5.613x^2 - 507.605x + 11394.982

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c)
graph C

For quadratic :


Exponential is a better fit