The following table gives the monthly premiums for an insurance policy on people of various ages. a. Find an exponential function that models the monthly premium as a function of age. b. Find the quadratic function that is the best fit for the data. c. Graph each function with the data points to determine which model is the better fit. a. The exponential function that models the data is y= (Use integers or decimals rounded the nearest thousandth as needed for any numbers in the expression.) Age 35 40 45 50 55 Monthly Premium (S) 120 151 219 334 532 Age 60 65 70 75 Full data set Monthly Premium (S) 980 1789 3208 5729

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter8: Polynomials
Section8.1: Adding And Subtracting Polynomials
Problem 44PPS
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Question
K
The following table gives the monthly premiums for an insurance policy on people of various ages.
a. Find an exponential function that models the monthly
premium as a function of age.
b. Find the quadratic function that is the best fit for the data.
c. Graph each function with the data points to determine
which model is the better fit.
a. The exponential function that models the data is y=
(Use integers or decimals rounded to the nearest thousandth as needed for any numbers in the expression.)
Age
35
40
45
50
55
Monthly
Premium (S)
120
151
219
334
532
Age
60
65
70
75
Full data set O
Monthly
Premium (S)
980
1789
3208
5729
Transcribed Image Text:K The following table gives the monthly premiums for an insurance policy on people of various ages. a. Find an exponential function that models the monthly premium as a function of age. b. Find the quadratic function that is the best fit for the data. c. Graph each function with the data points to determine which model is the better fit. a. The exponential function that models the data is y= (Use integers or decimals rounded to the nearest thousandth as needed for any numbers in the expression.) Age 35 40 45 50 55 Monthly Premium (S) 120 151 219 334 532 Age 60 65 70 75 Full data set O Monthly Premium (S) 980 1789 3208 5729
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