Question

A cab charges $1.45 for the flat fee and $0.55 for each mile. Write and solve an inequality to determine how many miles Ariel can travel if she has $35 to spend.

answers are:
A. $1.45 + $0.55x ≥ $35; x ≥ 61 miles
B. $1.45 + $0.55x ≤ $35; x ≤ 61 miles
C. $0.55 + $1.45x ≥ $35; x ≥ 23 miles
D. $0.55 + $1.45x ≤ $35; x ≤ 23 miles​

Answer 1

9514 1404 393

Answer:

B. $1.45 + $0.55x ≤ $35; x ≤ 61 miles

Explanation:

The mileage charge for x miles will be $0.55x, so the total charge will be $1.45+$0.55x. This must be less than or equal to $35 for Ariel to be able to pay for her travel. The appropriate inequality is ...

$1.45 +$0.55x ≤ $35 . . . . . matches choice B

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Comment on selecting an answer

From a "reasonableness" point of view, any answer choice with "≥ $35" can be eliminated immediately. Further, any answer choice with $1.45x can be eliminated, since the mileage charge is not $1.45, it is $0.55. The leaves only the choice shown above.