Question

A study estimates that the cost of tuition at a university will increase by 2.8% each year. The cost of tuition at the university in 2015 was $33,741. The function, B(x), models the estimated tuition cost, where x is the number of years since 2015. Enter an expression that completes the function B(x).

A) B(x) = 33,741 + 0.028x
B) B(x) = 33,741(1 + 0.028)ˣ
C) B(x) = 33,741(1 - 0.028)ˣ
D) B(x) = 33,741 - 0.028x

Answer 1

The correct expression that completes the function B(x) is B(x) = 33,741(1 + 0.028)ˣ. This expression models the estimated tuition cost at the university based on the increase of 2.8% each year. By substituting the value of x into the function, you can calculate the tuition cost for a certain number of years since 2015.

Step-by-step explanation:

The correct expression that completes the function B(x) is:

B(x) = 33,741(1 + 0.028)ˣ

To calculate the tuition cost for a certain number of years since 2015, you can substitute the value of x into the function. For example, to find the tuition cost in 2020 (5 years since 2015), you would calculate:

B(5) = 33,741(1 + 0.028)⁵

B(5) = 33,741(1.028)⁵

B(5) ≈ 33,741(1.155) ≈ $38,977