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
Question
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:
$210
Step-by-step explanation:
We will model the food booth and game booth as linear functions [tex]f(x)=mx+b[/tex] where [tex]m[/tex] is the charge per day, [tex]b[/tex] is the flat fee, and [tex]x[/tex] is the number of days.
Food booth: [tex]F(x)=5x+100[/tex]
Game booth: [tex]G(x)=7x+50[/tex]
We solve for both equations, letting [tex]x=5[/tex]:
[tex]F(5)=25+100=125[/tex]
[tex]G(5)=35+50=85[/tex]
We add the two values to obtain the total cost of $210.