Module 7A

Locksmith Larry charges $90 for a house call in addition to $20 per hour.
Write a function for the charges of Larry.

• f(x) = 90x + 20
• f(x) = 20x + 90

Locksmith Barry charges $50 for a house call plus $30 per hour.
What is the function that expresses his charges.

• G(x) = 30x + 50
• g(x) = 50 - 30x
• g(x) = 50x+ 30
• g(x) = 50x - 30

Locksmith Larry charges $90 for a house call plus $20 per hour. Locksmith Barry charges $50 for a house call plus $30 per hour. 
After how many hours will the two locksmiths charge the same amount? 

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Jill has $600 in savings. She has a recurring monthly bill of $75 but no income. Write an equation, f(x), representing her savings each month. 

• f(x)= 600 + 75x
• f(x)= 75x - 600
• f(x) = 600 - 75x

f(x) = 600 - 75x
Let g(x) = 0 represent the point when Jill has no money left. In how many months, x, will her savings account reach zero? 

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DJ A charges $75.30 plus $12.50 per hour. DJ B charges $52.90 plus $18.10 per hour. When will their charges be equal? 
Write a one-variable equation for the charges of DJ A.
f(x) =____________

• 75.30 - 12.50x
• 52.90 + 18.10x
• 52.90 - 18.10x
• 75.30 + 12.50x

DJ A charges $75.30 plus $12.50 per hour. DJ B charges $52.90 plus $18.10 per hour. When will their charges be equal? 
Write a one-variable equation for the charges of DJ B. 
g(x) = ________ 

• 75.30 - 12.50
• 52.90 + 18.10
• 52.90 - 18.10
• 72.30 + 12.50

DJ A: 12.50x + 75.30
DY B: 52.90 + 18.10x
After how many hours will the two DJs charge the same amount? ____________ 

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A recycling center pays $0.10 per aluminum can and $0.05 per plastic bottle. The cheerleading squad wants to raise $500. Write a linear equation that describes the problem. 

• 10a + 5p = 500
• 500 = .10a + 5p
• .10a + .5p = 500
• 500 = .10a + .05p

A bowling alley charges $2.00 per game and will rent a pair of shoes for $1.00 for any number of games. The bowling alley has an earnings goal of $300 for the day. 
If the bowling alley rents 40 pairs of shoes, how many games
will need to be played to reach its goal? 

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