A community college enrolled 96,000 students in 2007, and the enrollment has increased by 7% every year since then. Graph the exponential function, y, that gives the number of students enrolled in terms of t, where t is the number of years since 2007.

-The graph of the function begins at y = 96,000.

-The graph of the function does not have any asymptotes.

-The graph of the function shows the exponential growth.

-As t increases in the exponential function, the value of y approaches zero.

Question

Celeste Herrera

Mathematics

14 January, 23:12

A community college enrolled 96,000 students in 2007, and the enrollment has increased by 7% every year since then. Graph the exponential function, y, that gives the number of students enrolled in terms of t, where t is the number of years since 2007.

-The graph of the function begins at y = 96,000.

-The graph of the function does not have any asymptotes.

-The graph of the function shows the exponential growth.

-As t increases in the exponential function, the value of y approaches zero.

+3

Answers (1)

Know the Answer?

Barry · Answer 1

The formula of the function would be:

y = 96000 (1.07) ^t

The graph is an exponential function with y-intercept of 9600. The curve goes upward indefinitely as the value of time increases.

Therefore, from the choices, the statements that apply to the graph are:

-The graph of the function begins at y = 96,000.

-The graph of the function shows the exponential growth.