Question

in 2009, expenses at a four-year public College average 14600 and we're increasing at a rate of 760 per year. model this information with a linear equation and use the model to predict the average cost of attending a four-year public College.the equation of the line that models the information is:y = 760x + 14,600The cost of attending a four year public college in 2018 is predicted to be: $__________

Answer 1

The initial year is 2009, which means in 2018 the value of x is 9, that is, we have to calculate the cost after 9 years. So, to find the answer, evaluate the equation when x = 9.

`\begin{gathered} y=760x+14,600 \\ y=760(9)+14,600 \\ y=6,840+14,600 \\ y=21,440 \end{gathered}`

Therefore, the cost of attending a four-year public college in 2018 is predicted to be $21,440.