Question

A company sets up a food booth at the county fair. The fee for the food booth is $100 plus $5 per day. The fee for the game booth is $50 plus $7 per day. How much does the company pay for both booths for 5 days? Response area

Answer 1

Answer:

$210

Step-by-step explanation:

We will model the food booth and game booth as linear functions $f(x)=mx+b$ where $m$ is the charge per day, $b$ is the flat fee, and $x$ is the number of days.

Food booth: $F(x)=5x+100$

Game booth: $G(x)=7x+50$

We solve for both equations, letting $x=5$:

$F(5)=25+100=125$

$G(5)=35+50=85$

We add the two values to obtain the total cost of $210.