Question

A new video game is expected to sell 120 coples the first hour at a local game store. After that, the sales will follow the function s(x) = 15(x - 1) where x is the

number of hours. What is the function that shows total sales, including the first hour?

Answer 1

The function that shows total sales, including the first hour is

`S(x)=15(x-1)+120` or
`S(x)=15x+105`

Explanation:

Let

s(x) -----> function that represent the sales after the first hour

S(x) ----> function that represent the total sales (including the first hour)

x -----> the number of hours

we know that

The linear equation that represent the total sales is equal to

`S(x)=s(x)+120` -----> equation A

we have

`s(x)=15(x-1)` -----> equation B

substitute equation B in equation A

`S(x)=15(x-1)+120`

`S(x)=15x-15+120`

`S(x)=15x+105`

Therefore

The function that shows total sales, including the first hour is

`S(x)=15(x-1)+120` or
`S(x)=15x+105`