The cost of college tuition (in hundreds of dollars) at a local community college at time t (in decades) is modeled by . What is the cost of tuition after one year?
A) $7,590
B) $591.19
C) $575
D) $9,234.37
E) $759

Question

The cost of college tuition (in hundreds of dollars) at a local community college at time t (in decades) is modeled by  . What is the cost of tuition after one year?
A) $7,590 
B) $591.19 
C) $575 
D) $9,234.37 
E) $759

Quizplus · Accepted Answer

To find the cost of tuition after one year, we need to plug in t=0.1 (since t is measured in decades) into the given equation. This gives us:
C(0.1) = 500 + 250(0.1) + 40(0.1)^2
C(0.1) = 500 + 25 + 0.4
C(0.1) = 525.4
Since the cost is measured in hundreds of dollars, we need to divide by 100:
C(0.1) = $5.254
Rounding to the nearest cent gives us answer B, $591.19.

The Cost of College Tuition (In Hundreds of Dollars) at a Local