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Mr. Lee wants to hire a balloon artist for the carnival day at school, and he is considering two companies that each charge a fixed hourly rate. A balloon artist from The Amusing Muse charges $\$549$ for $3$ hours. This equation describes how much a balloon artist from Laugh Time Parties charges. In the equation, $y$ represents the cost in dollars for $x$ hours. $\newline$ $\newline$ $y = 190x$ $\newline$ Which company charges more per hour? $\newline$ Choices: $\newline$ (A)The Amusing Muse $\newline$ (B)Laugh Time Parties $\newline$ How much would that company charge for $2$ hours? $\newline$ $\$$ _____

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Evaluate two-variable equations: word problems

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Q. Mr. Lee wants to hire a balloon artist for the carnival day at school, and he is considering two companies that each charge a fixed hourly rate. A balloon artist from The Amusing Muse charges

\$549

for

3

hours. This equation describes how much a balloon artist from Laugh Time Parties charges. In the equation,

y

represents the cost in dollars for

x

hours.

\newline

\newline

y = 190x

\newline

Which company charges more per hour?

\newline

Choices:

\newline

(A)The Amusing Muse

\newline

(B)Laugh Time Parties

\newline

How much would that company charge for

2

hours?

\newline

\$

_____

Calculate Hourly Rate: Calculate the hourly rate for The Amusing Muse by dividing the total cost by the number of hours. $\newline$ $\$549 \div 3$ hours = $\$183$ per hour
Identify Laugh Time Parties Rate: Identify the hourly rate for Laugh Time Parties from the given equation. $y = 190x$ implies $\$190$ per hour
Compare Hourly Rates: Compare the hourly rates to determine which company charges more. $\newline$ The Amusing Muse: $\$183$ per hour $\newline$ Laugh Time Parties: $\$190$ per hour $\newline$ Laugh Time Parties charges more per hour.
Calculate $2$ -Hour Cost: Calculate the cost for $2$ hours with the company that charges more. $\$190$ per hour $\times 2$ hours = $\$380$

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