Answer: Option A
:
A
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.