Question

In 2012, the yearly cost to attend a college was $1,980.50. The collegepredicts the yearly cost will increase by $130 each year after 2012. Inwhat year will the tuition and fees first exceed $2,500?A 2015B. 2016C. 2017D. 2018

Answer 1

B. 2016

Step-by-step 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:

`\begin{gathered} y>2500 \\ 1980.5+130x>2500 \end{gathered}`

So, solving for x, we get:

`\begin{gathered} 1980.5+130x-1980.5>2500-1980.5 \\ 130x>519.5 \\ (130x)/(130)>(519.5)/(130) \\ x>3.99 \end{gathered}`

It means that 4 years after 2012, the cost will exceed $2,500.

Therefore, 4 years after 2012 is 2016.