Question

a study found that annual enrollment in online universities, f(x), increases by 3.7%, while annual enrollment in public universities, p(x) increases by 150,000 students. the graph shows the predicted enrollment for both types of universities x years after the study. based on the information in the graph, which statement is true? \bigcirc a. public universities will always have more students enrolled than online universities. \bigcirc b. online universities will always have more students enrolled than public universities. \bigcirc c. after 35 years, enrollment in public universities will exceed that of online universities. \bigcirc d. after 35 years, enrollment in online universities will exceed that of public universities.

Explanation:

Step1: Analyze the graph

We observe the trend of the two functions \(f(x)\) (online universities) and \(p(x)\) (public universities) on the graph.

Step2: Compare the values at \(x = 35\)

Looking at the graph, when \(x=35\) (35 years after the study), the value of \(y\) (number of students) for \(f(x)\) is higher than the value of \(y\) for \(p(x)\).

Answer:

D. After 35 years, enrollment in online universities will exceed that of public universities.