College Tuition Fund Present and Future value As soon as you were born, your

grandparents started investing for $18$ years in a college fund according to the model $F(t)$

$=1500,$ at an annual interest rate of $5\%.$ Assume college tuition is the same for four

years. In $2023,$ the tuition cost of attending San Diego State University for $1$ year living

with parents is $$24,928,$ in$-$state living on campus is $$34,072$ and in$-$state living off

campus $$31,448.$

a$.$ Will the fund have grown enough to allow you to cover $1$ year of tuition at San Diego

State University $($future value$)?$ Under which living choice$($s$)?($source: San Diego State

University$).$