Question

A technology company recently released two new products and tracked the increase in sales of each product. They were able to model the number of units sold for each product with the functions below, where x represents the number of months the products have been on the market.

Product A: f(x) = 400(1.08)^x
Product B: g(x) = 320x

Write function h representing the difference in the number of units sold for product A and the number of units sold for product B.

Answer 1

`h(x) = 400(1.08)^x-320x`

Explanation:

As per the statement:

Product A:

f(x) = 400(1.08)^x

Product B:

g(x) = 320x

We have to write function h(x) representing the difference in the number of units sold for product A and the number of units sold for product B.

h(x) = The difference in the number of units sold for product A and the number of units sold for product B

⇒
`h(x) = f(x)-g(x)`

Substitute the given values we have;

`h(x) = 400(1.08)^x-320x`

where,

x represents the number of months the products have been on the market.

Answer 2

h(x)=f(x)-g(x)
h(x)=400(1.08)^x-320x