Answer:
B. 2016
Explanation:
The yearly cost to attend a college x years after 2012 can be calculated as:
y = 1980.50 + 130x
Because the cost will increase 130 each year after 2012.
So, we want to know the value of x such that the yearly cost y is greater than 2,500. Therefore, we can write the following equation:
[tex]\begin{gathered} y>2500 \\ 1980.5+130x>2500 \end{gathered}[/tex]So, solving for x, we get:
[tex]\begin{gathered} 1980.5+130x-1980.5>2500-1980.5 \\ 130x>519.5 \\ \frac{130x}{130}>\frac{519.5}{130} \\ x>3.99 \end{gathered}[/tex]It means that 4 years after 2012, the cost will exceed $2,500.
Therefore, 4 years after 2012 is 2016.
