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Nathaniel is deciding between two parking garages. Garage A charges an initial fee of $8 to park plus $6 per hour. Garage B charges an initial fee of $11 to park plus $5 per hour. Let AA represent the amount Garage A would charge if Nathaniel parks for tt hours, and let BB represent the amount Garage B would charge if Nathaniel parks for tt hours. Write an equation for each situation, in terms of t,t, and determine the hours parked, t,t, that would make the cost of each garage the same.

User Zavg
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1 Answer

4 votes

Answer:

tt = 3 would make the cost of each garage the same.

Explanation:

Garage A: $8 + $6(h)

AA = $8 + $6(tt)

Garage B: $11 + $5(h)

BB = $11 + $5(tt)

If AA = BB

then,

$8 + $6(tt) = $11 + $5(tt)

($6-$5)(tt) = $11 - $8

$1(tt) = $3

tt = 3

User Roman Ryltsov
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