Question

A new video game is expected to sell 102 copies the first hour at a local game store. After that, the sales will follow the function s(x) = 11(x − 1) where x is the number of hours. What is the function that shows total sales, including the first hour?

Answer 1

S(x) = 102    (102 represents the number of video games sold in the first hour)

s(x)=11(x-1)

102 + 11(x-1)

Answer 2

Answer:

$s(x)=102+11(x-1)$

Step-by-step explanation:

We have been given that a new video game is expected to sell 102 copies the first hour at a local game store. After that, the sales will follow the function $s(x)=11(x-1)$, where x is the number of hours.

To get the function that shows total sales, including first hour, we will add sales of first hour to our given function as total sales will be sales of first hour plus sales after the first hour.

$\text{Total sales}=\text{Sales of first hour + Sales after first hour}$

$\text{Sales of first hour}=s(1)=102$

After adding 102 in our given function we will get:

$s(x)=102+11(x-1)$  

We can see if we replace x=1 in our given equation we will get number of copies sold in 1st hour.

$s(1)=102+11(1-1)$

$s(1)=102+11(0)$

$s(1)=102+0$

$s(1)=102$  

Therefore, the function that shows total sales, including the first hour is $s(x)=102+11(x-1)$.