Question

Pablo only has $39.47 (at max) for a trip downtown. The cab ride has an initial fee of $4.00 with a $0.32 charge for every half mile.Which inequality could determine the distance can Pablo travel? (use m for every half mile)
39.47 = 4.00 + 0.32m
0.32m = 39.47 + 4.00
4.00 = 39.47 + 0.32m
39.47 = 4.00m + 0.32

Answer 1

To determine the distance Pablo can travel, we need to set up an inequality based on his budget. The total cost of the cab ride can be expressed as:

Cost = Initial fee + Charge per distance traveled

The inequality that represents the amount Pablo can spend is:

\[
4.00 + 0.32m \leq 39.47
\]

This means that the initial fee ($4.00) plus the variable cost ($0.32 per half mile for distance, represented by \(m\)) must be less than or equal to his total budget ($39.47).

So the correct inequality to determine the distance Pablo can travel is:

\[
0.32m + 4.00 \leq 39.47
\]

Now you can solve for \(m\) to find the maximum distance he can travel.