Question

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?

• A. 53
• B. 98
• C. 110
• D. 150

Answer 1

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 $\times$ 17.50 + number of miles $\times$ 0.16
As henko rented the car for only one day
Total cost $=17.50+x\times 0.16$

Step 4 : Decide the inequality

Look for cues : Henko can spend at most $33\$$ for the car rent. Therefore, we get
$33\ge 17.50+x\times 0.16$
As, the question is looking for possible value of x, simplify the given inequality
$96.87\ge x$
Only, option A satisfies the given inequality.