In this activity, you will use graphs, tables, sets of points, and verbal descriptions to write exponential functions in mathematical and real-world contexts. Question 1
Part A
Question
A media company wants to track the results of its new marketing plan, so the video production manager recorded the number of views for one of the company’s online videos. The results of the first 5 weeks are shown in this table.

Weeks, x Views, f(x)
0 5,120
1 6,400
2 8,000
3 10,000
4 12,500
5 15,625

Write an equation to model the relationship between the number of weeks, x, and the number of views, f(x).

Enter the correct answer in the box by replacing the values of a and b.