MATH SOLVE

3 months ago

Q:
# 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 thenumber of hours. What is the function that shows total sales, including the first hour?

Accepted Solution

A:

Answer:The function that shows total sales, including the first hour is [tex]S(x)=15(x-1)+120[/tex] or [tex]S(x)=15x+105[/tex] Step-by-step explanation:Lets(x) -----> function that represent the sales after the first hourS(x) ----> function that represent the total sales (including the first hour)x -----> the number of hourswe know thatThe linear equation that represent the total sales is equal to[tex]S(x)=s(x)+120[/tex] -----> equation Awe have[tex]s(x)=15(x-1)[/tex] -----> equation Bsubstitute equation B in equation A[tex]S(x)=15(x-1)+120[/tex][tex]S(x)=15x-15+120[/tex][tex]S(x)=15x+105[/tex] ThereforeThe function that shows total sales, including the first hour is [tex]S(x)=15(x-1)+120[/tex] or [tex]S(x)=15x+105[/tex]