Question

problem 13 - 20. a school district collected data on the enrollment of the two high schools in the district

1. if the trend continues, how many students will campus a have at year 14?

__ students

Explanation:

Step1: Identify linear trend

First, confirm Campus A's enrollment is linear. Calculate the common difference between consecutive years:
$500 - 475 = 25$, $475 - 450 = 25$, $450 - 425 = 25$, etc. The enrollment decreases by 25 each year.

Step2: Define linear formula

Let $y$ = enrollment, $x$ = years since 2010. The formula is $y = 500 - 25x$.

Step3: Calculate for year 14

Substitute $x=14$ into the formula:
$y = 500 - 25(14)$
$y = 500 - 350$

Answer:

150 students