Answer
a. $28920$ dollars.
b. underestimates by $136$ dollars.
c. $44680$ dollars.
Work Step by Step
a. Given the formula $T=21x^2+862x+15552$ and with the year 2012 corresponds to $x=2012-2000=12$, we have $T=21(12)^2+862(12)+15552=28920$ dollars.
b. Use the bar graph to find the tuition and fees for year 2012 as $29056$ dollars; thus the above calculation underestimated by a value of $29056-28920=136$ dollars.
c. For the year ending in 2022, we have $x=2022-2000=22$ and $T=21(22)^2+862(22)+15552=44680$ dollars.
