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amm1812
3 years ago
6

A shopping mall parking garage charges $2 for the first half hour and $1.20 for each additional half hour (even if it is under 3

0 minutes). Write and solve and inequality to find how many hours you can park in the garage if you have $8 in cash
Mathematics
1 answer:
Neko [114]3 years ago
4 0

You can park in the garage for 5 hours 30 minutes

<em><u>Solution:</u></em>

Given that, shopping mall parking garage charges $2 for the first half hour and $1.20 for each additional half hour (even if it is under 30 minutes)

Therefore,

Cost for first half an hour = $ 2

Cost for each additional half an hour = $ 1.20

Let "x" be the number of each additional half hour

Therefore, total cost to pay is given as:

Total cost = Cost for first half an hour + (Cost for each additional half an hour)(number of each additional half hour)

Total cost = 2 + 1.20x

<em><u>Given you have $ 8 in cash</u></em>

8 = 2 + 1.20x\\\\1.20x = 8 - 2\\\\1.20x = 6\\\\x = \frac{6}{1.20}\\\\x = 5

Total hours parked = first half an hour + 5

Thus you can park in the garage for 5 hours 30 minutes

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