Solve the problem
-The population of a small town is given by the table. $\begin{array}{r|cccc}
\text { Year } & 1980 & 1990 & 2000 & 2010 \
\hline \mathrm{p} & 6500 & 6508 & 6532 & 6572
\end{array}$

If the population is modeled by $p ( t ) = a t ^ { 2 } + b$ where $t$ is in years and $t = 0$ corresponds to the year 19: and $t = 1$ corresponds the year 1990 , find $a$.
A) 20
B) 10
C) 16
D) 8

Question

Solve the problem
-The population of a small town is given by the table. $\begin{array}{r|cccc}
\text { Year } & 1980 & 1990 & 2000 & 2010 \
\hline \mathrm{p} & 6500 & 6508 & 6532 & 6572
\end{array}$

If the population is modeled by $p ( t ) = a t ^ { 2 } + b$ where $t$ is in years and $t = 0$ corresponds to the year 19: and $t = 1$ corresponds the year 1990 , find $a$.
A) 20
B) 10
C) 16
D) 8

Quizplus · Accepted Answer

The population increases by 8 every 10 years, suggesting a quadratic model with a small coefficient for $a$. Solving the equations for the given years, $a$ is found to be 8.

Solve the Problem -The Population of a Small Town Is Year 1980199020002010p6500650865326572\begin{array}{r|cccc}\text { Year } & 1980 & 1990 & 2000 & 2010 \\\hline \mathrm{p} & 6500 & 6508 & 6532 & 6572\end{array} Year p​19806500​19906508​20006532​20106572​​

Solve the Problem
-The Population of a Small Town Is $\begin{array}{r|cccc}\text { Year } & 1980 & 1990 & 2000 & 2010 \\\hline \mathrm{p} & 6500 & 6508 & 6532 & 6572\end{array}$