8/16/2019 Chances of 60-Year-Olds Surviving to Various Ages The functions f(x) = -2.9x + 286 and g(x) 0.01x-5.1x + 370 model the chance, as a percent, that a 60-year-old will survive to age x. The bar graph to the right shows the chances of 60-year-olds surviving to various ages. a. Find and interpret f(80). b. Find and interpret g(80). c. Which function serves as a better model for the chance of surviving to age 80? 16. 84 90- 75- 60-f 45- 55 24 30- 3.7 15- 0 100 90 80 70 Age a. Select the correct choice below and fill in the answer box(es) to complete your choice. (Simplify your answers.) A. f(80) which means that the chance of a 60-year-old surviving to the age of is 80% O B. f(80)= which means that the chance of a 60-year-old surviving to the age of 80 is b. Select the correct choice below and fill in the answer box(es) to complete your choice. (Simplify your answers.) O A. g(80) which means that the chance of a 60-year-old surviving to the age of 1 is 80% OB. g(80) which means that the chance of a 60-year-old surviving to the age of 80 is c. Determine the better model for the chance of surviving to age 80. Choose the correct answer below. O A. Neither f(x) nor g(x) are good models. B. The function g(x) is a better model. C. The function f(x) is a better model. O D. The functions f(x) and g(x) are equally good models. 8/11 Chance of survival

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