Question

A new video game is expected to sell 100 copies the first hour at a local game store. After that, the sales will follow the function s(x) = 12(x − 1) where x is the number of hours. What is the function that shows total sales, including the first hour?

Answer 1

T(x) = 88 + 12x

Explanation:

Givens:

1st hour = 100 copies

subsequent hours s(x) = 12( x - 1), where x is number of hours

Let total sales be represented by T(x)

Total sales, T(x)

= sales in first hour + sales in subsequent hours

= 100 + 12 (x - 1)

= 100 + 12x - 12

= 88 + 12x

Answer 2

Answer: Total sales function is
`S(x)=88+12x`

Explanation:

Since we have given that

Number of copies the first hour he sell at a local game = 100

Sales function is expressed as

`s(x)=12(x-1)=12x-12`

so, function that shows total sales including the first hour is given by

`S(x)=100+s(x)\\\\S(x)=100+12x-12\\\\S(x)=88+12x`

Hence, total sales function is
`S(x)=88+12x`