Question

interpolate: use the equation to determine what the student enrollment in 2003 likely was. 1244 students complete extrapolate: use the equation to predict student enrollment in 2013. students done y = 82x + 998 student enrollment years since 2000

Explanation:

Step1: Determine x - value for 2013

For 2013, since x is years since 2000, $x = 2013 - 2000=13$.

Step2: Substitute x into the equation

The equation is $y = 82x+998$. Substitute $x = 13$ into it: $y=82\times13 + 998$.
First, calculate $82\times13$: $82\times13=(80 + 2)\times13=80\times13+2\times13=1040+26 = 1066$.
Then, $y=1066 + 998=2064$.

Answer:

2064 students