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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 plu
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
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Mathematics
3 years
2021-09-02T00:48:46+00:00
2021-09-02T00:48:46+00:00 1 Answers
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Answers ( )
Answer:
$210
Step-by-step explanation:
We will model the food booth and game booth as linear functions
where
is the charge per day,
is the flat fee, and
is the number of days.
Food booth:![Rendered by QuickLaTeX.com F(x)=5x+100](https://documen.tv/wp-content/ql-cache/quicklatex.com-adbe5fae9d3fdc764fadf3cc43c25d5e_l3.png)
Game booth:![Rendered by QuickLaTeX.com G(x)=7x+50](https://documen.tv/wp-content/ql-cache/quicklatex.com-0bb3e4309de44b918e3f9f4de47b3cf2_l3.png)
We solve for both equations, letting
:
We add the two values to obtain the total cost of $210.