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Nastasia [14]
3 years ago
15

Angel is trying to decide which parking garage to use. Polite's parking charges a flat fee of $2 plus $4 per hour. Gray's garage

charges a flat fee of $8 plus $2 per hour.
For how many hours with the cost of parking in either garage be the same, and what will the cost be?
Mathematics
1 answer:
Travka [436]3 years ago
8 0

\text{Turn the scenarios into equations:}\\\\\text{Polite's parking:}\\\\y=4x+2\\\\\text{Gary's garage:}\\\\y=2x+8\\\\\text{To find when the parking costs the same, solve the expressions together:}\\\\4x+2=2x+8\\\\\text{Solve for x:}\\\\4x+2=2x+8\\\\\text{Subtract 2x from both sides}\\\\2x+2=8\\\\\text{Subtract 2 from both sides}\\\\2x=6\\\\\text{Divide by 2}\\\\x=3\\\\\boxed{\text{In 3 hours, the cost will be the same}}\\\\

\text{To find the cost, plug in 3 to x in one of the equations:}\\\\y=4(3)+2\\\\y=12+2\\\\y=14\\\\\boxed{\text{The cost would be \$14}}

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