Question

Mel Needs to park his car for eight hours. Spikes parking place charges five dollars per hour for the first three hours and three dollars for every 30 minutes after that the main deck charges $18 for the first four hours and two dollars for every 15 minutes after at which parking garage will bill pay the least? How much less?

Answer 1

• Spike's Parking
• $5 less

Explanation:

After 3 hours, Spike charges 6 dollars per hour. For 3 hours, the charge is only $5×3 = $15 (which is $3 less than $6×3). So the rate after 3 hours can be modeled by ...

s(h) = 6h -3

For 8 hours, s(8) = 6·8 -3 = 45 . . . . dollars

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After 4 hours, Main Deck charges 8 dollars per hour. For 4 hours, the charge is only $18 (which is $14 less than $8×4). So the rate after 4 hours can be modeled by ...

m(h) = 8h -14

For 8 hours, m(8) = 8·8 -14 = 50 . . . . dollars

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For 8 hours, the $45 charge at Spike's is $5 less than the $50 charge at Main Deck.