Question

At the start of the year, the satisfaction rating for Rapid Wireless was 4.49. Since then, the company has switched all wireless plans to unlimited data, and its rating has increased by 0.2% each week. Assuming the same growth continues, you can use a function to describe the satisfaction rating x weeks since the start of the year.
Write an equation for the function. If it is linear, write it in the form g(x)=mx+b. If it is exponential, write it in the form g(x)=a(b)x.

Answer 1

Exponential, since the rating grows by a fixed percent each week:

g(x) = 4.49(1.002)^x

where x is weeks since the start of the year (0.2% = 0.002 so weekly factor = 1.002).