givesthe monthly premiums following table gi for an insuranc

givesthe monthly premiums following table gi for an insurance policy on people of various ages. Full data seto Find an exponential function that models the monthly Monthly remium as a function of age. Age premium (S) Age Premium Find the quadratic function that is the best fit for the data. 35 120 980 Graph each function with the data points to determine 40 151 65 1789 which model is the better fit. 219 3208 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.) 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.) Choose the correct graph of the data and exponential function below A. O B. O C.

Solution

Exponential model :

y = 1.477 * e^(0.110x)

Quadratic model :

y = 5.985x^2 - 540.323x + 12068.442

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Graphs :

Exponential graph : option B

Quadratic graph : option C

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Exponential is a better fit