The following table gives the monthly premiums for an insurance policy on people of various ages. Full data setD ITIŤ Monthly Premium ($) 140 178 Monthly Premium ($) 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. Age Age 35 60 965 40 65 1620 45 250 70 3022 50 390 75 5334 55 619 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.) b. The quadratic function that models the data is y =. (Use integers or decimals rounded to the nearest thousandth as needed for any numbers in the expression.) c. Choose the correct graph of the data and exponential function below. OA. OB. OC. 7000- Ay 7000- 7000- 0+ 30 80 30 80 30 80

Big Ideas Math A Bridge To Success Algebra 1: Student Edition 2015
1st Edition
ISBN:9781680331141
Author:HOUGHTON MIFFLIN HARCOURT
Publisher:HOUGHTON MIFFLIN HARCOURT
Chapter8: Graphing Quadratic Functions
Section: Chapter Questions
Problem 14CT
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Question
The following table gives the monthly premiums for an insurance policy on people of various ages.
Full data setO
Monthly
Premium ($)
Monthly
Premium ($)
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.
Age
Age
35
140
60
965
40
178
65
1620
45
250
70
3022
50
390
75
5334
55
619
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.)
b. The quadratic function that models the data is y =
(Use integers or decimals rounded to the nearest thousandth as needed for any numbers in the expression.)
c. Choose the correct graph of the data and exponential function below.
O A.
ОВ.
OC.
Ay
7000-
Ay
7000-
Ay
7000-
X
0+
30
0-
30
0-
30
80
80
80
Transcribed Image Text:The following table gives the monthly premiums for an insurance policy on people of various ages. Full data setO Monthly Premium ($) Monthly Premium ($) 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. Age Age 35 140 60 965 40 178 65 1620 45 250 70 3022 50 390 75 5334 55 619 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.) b. The quadratic function that models the data is y = (Use integers or decimals rounded to the nearest thousandth as needed for any numbers in the expression.) c. Choose the correct graph of the data and exponential function below. O A. ОВ. OC. Ay 7000- Ay 7000- Ay 7000- X 0+ 30 0- 30 0- 30 80 80 80
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