Answer
a. $f(70)=83$
b. $g(70)=76$
c. $f(x)$ serves as a better model
Work Step by Step
For the function, $f(x)=-2.9x+286$ and $g(x)=0.01x^2-4.9x+370$
we calculate:
a) $f(70)=-2.9(70)+286=83$
This means that the chance that a $60$-year-old will survive to the age of $70$ is $83\%$.
b) $g(70)=0.01(70^2)-4.9(70)+370=76$
This means that the chance that a $60$-year-old will survive to the age of $70$ is $76\%$.
c) According to the graph, the function $f(x)$ serves as a better model for the chance to survive to age $70$.
