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Question

Henko is renting a car. The rental charge is 17.50perdayplus0.16 per mile. Henko can spend at most $33 for the cost of the car rental. If Henko rents the car for one day, which of the following is one possible number of miles Henko can drive the rental car?


A

53

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B

98

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C

110

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D

150

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Solution

The correct option is A

53


Step 1 : Underline the keywords

Henko is renting a car. The rental charge is $17.50 per day plus $0.16 per mile. Henko can spend at most $33 for the cost of the car rental. If Henko rents the car for one day, which of the following is one possible number of miles Henko can drive the rental car?

Step 2 : Recognize the variable

Number of miles ,is what the question is looking for.
Let number of miles be x

Step 3 : Decipher the relation

Total cost = no. of days rented × 17.50 + number of miles × 0.16
As henko rented the car for only one day
Total cost =17.50+x×0.16

Step 4 : Decide the inequality

Look for cues : Henko can spend at most 33$ for the car rent. Therefore, we get
3317.50+x×0.16
As, the question is looking for possible value of x, simplify the given inequality
96.87x
Only, option A satisfies the given inequality.


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