Question

An electronics company currently has 278 stores throughout the U.S. Because of the popularity of online shopping, many of the company's stores are closing. The total number of stores is expected to decline by about 5% this year. Assuming the same decline continues, you can use a function to approximate the total number of stores remaining after x years.
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

The decline is multiplicative (percent per year), so it's exponential:
g(x) = 278(0.95)^x
where x is years and g(x) is the approximate number of stores.