Solve the problem
-$$\begin{array} { c | c }
& \text { Population } \
\text { Year } & \text { (in millions of people) } \
\hline 0 & 65 \
1 & 65.5 \
2 & 67 \
3 & 69 \
4 & 71.5
\end{array}$$ We used this data to develop the quadratic function $$f ( x ) = 0.373 x ^ { 2 } + 0.165 x + 65$$ , which models the population of the city y in millions in the year x. Use the model to find the estimated population in
Year 9.
A) 1,490,000,000,000
B) 1,490,000
C) 65,538,000
D) 66,822,000

Question

Solve the problem
-$$\begin{array} { c | c } 
& \text { Population } \
\text { Year } & \text { (in millions of people) } \
\hline 0 & 65 \
1 & 65.5 \
2 & 67 \
3 & 69 \
4 & 71.5
\end{array}$$ We used this data to develop the quadratic function $$f ( x ) = 0.373 x ^ { 2 } + 0.165 x + 65$$ , which models the population of the city y in millions in the year x. Use the model to find the estimated population in
Year 9.
A) 1,490,000,000,000
B) 1,490,000
C) 65,538,000
D) 66,822,000

Quizplus · Accepted Answer

To find the estimated population in Year 9, substitute $x = 9$ into the quadratic function $f(x) = 0.373x^2 + 0.165x + 65$. This gives $f(9) = 0.373(9)^2 + 0.165(9) + 65 = 0.373(81) + 1.485 + 65 = 30.213 + 1.485 + 65 = 96.698$ million people, or 96,698,000 people.

Solve the Problem - We Used This Data to Develop the Quadratic Function

Solve the Problem
- We Used This Data to Develop the Quadratic Function