Question

Joe is researching the cost of going to college. He sees the table shown.

Joe wants to create a mathematical model, f(x), where x represents the number of academic years since 1979-1980, to predict future cost of tuition and fees using data in the table.

Which type of function will most closely match the data?
A) decreasing linear function
B) increasing linear function
C) exponential decay function
D) exponential growth function

Answer 1

D) exponential growth function

Explanation:

Answer 2

D) Exponential Growth Function

Explanation:

This is because in a linear equation, there is a constant 'slope' of how something increases like a specific amount but in this equation, the growth is by a specific percentage which allows for a difference in the amount each year. For example, a linear function would be if it increased by four dollars every year, so 2, 4, 6, 8,etc. But a exponential function would be like if it increased by for percent each year, so 2, 2.16, 2.25, 2.34, etc.