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

Answer:

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

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

Step-by-step 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 $S(x)=15x+105$