Question

part a is correct please assist with part b c. determine the total enrollment of full time students in 2017 d. in what year is the total enrollment of full time students expected to be 2510?

Answer 1

b. t represents the number of years after 2014 and N represents the number of students enrolled.

"The product of the number of years after 2014 (t) and 110" is equivalent to 110t.

To calculate the number of students enrolled (N), we have to add 1850 to the previous amount, that is,

`N=110t+1850`

c. 2017 is 3 years after 2014, then we have to substitute t = 3 into the above equation, as follows:

`\begin{gathered} N=110\cdot3+1850 \\ N=330+1850 \\ N=2180 \end{gathered}`

The number of students enrolled in 2017 was 2180

d. Substituting N = 2510 into the equation and solving for t:

`\begin{gathered} 2510=110t+1850 \\ 2510-1850=110t+1850-1850 \\ 660=110t \\ (660)/(110)=(110t)/(110) \\ 6=t \end{gathered}`

6 years after 2014, that is, in 2020 it is expected that the number of students will be 2510