Question

An up-and-coming band has seen a 50% monthly increase in the the number of audience members at their concerts. At the band's first concert, there were 40 people in the audience. If this trend continues, which of the following graphs represents the number of audience members, y, after x months?

Answer 1

The equation would be: y = 40(1.5)^x.

This is an example of an exponential equation. The basic form is y = ab^x. 

A is the starting amount of the function.

B is the rate of change. In this case, we are using 1.5 because the audience is increasing by 50% each month.