Question
Gloria only has $37.07 (at max) for a trip downtown. The cab ride has an initial fee of $1.73 with a $0.60 charge for every half mile .Which inequality could determine the distance can Gloria travel? (use m for every half mile)
Answers
GPT-4o mini
To determine the distance Gloria can travel given her budget for the cab ride, we start with the costs involved.
1. The initial fee for the cab ride is $1.73.
2. There is an additional cost of $0.60 for every half mile, which we can denote as \(m\) (where \(m\) represents the number of half miles).
The total cost of the cab ride can be expressed as:
\[
\text{Total Cost} = 1.73 + 0.60m
\]
Since Gloria has at most $37.07 for her trip, we can set up the following inequality to represent this situation:
\[
1.73 + 0.60m \leq 37.07
\]
This inequality ensures that the total cost of the cab ride does not exceed her budget. By solving this inequality, we can determine the maximum number of half miles \(m\) that Gloria can travel within her budget.
So the inequality that determines the distance Gloria can travel is:
\[
1.73 + 0.60m \leq 37.07
\]
1. The initial fee for the cab ride is $1.73.
2. There is an additional cost of $0.60 for every half mile, which we can denote as \(m\) (where \(m\) represents the number of half miles).
The total cost of the cab ride can be expressed as:
\[
\text{Total Cost} = 1.73 + 0.60m
\]
Since Gloria has at most $37.07 for her trip, we can set up the following inequality to represent this situation:
\[
1.73 + 0.60m \leq 37.07
\]
This inequality ensures that the total cost of the cab ride does not exceed her budget. By solving this inequality, we can determine the maximum number of half miles \(m\) that Gloria can travel within her budget.
So the inequality that determines the distance Gloria can travel is:
\[
1.73 + 0.60m \leq 37.07
\]