Answer
a. $f(90)=25$
b. $g(90)=10$
c. $f(x)$ serves as a better model for the chance to survive to age $90$
Work Step by Step
For the functions $f(x)=-2.9x+286$ and $g(x)=0.01x^2-4.9x+370$
we calculate:
a) $f(90)=-2.9(90)+286=25$
This means that the chance that a $60$-year-old will survive to the age of $90$ is $25\%$.
b) $g(90)=0.01(90^2)-4.9(90)+370=10$
This means that the chance that a $60$-year-old will survive to the age of $90$ is $10\%$.
c) According to the graph, the function $f(x)$ serves as a better model for the chance to survive to age $90$.
