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)
39.07 = 1.73m + 0.60
1.73 = 39.07 + 0.60m
39.07 = 1.73 + 0.60m
0.60m = 39.07 + 1.73
39.07 = 1.73m + 0.60
1.73 = 39.07 + 0.60m
39.07 = 1.73 + 0.60m
0.60m = 39.07 + 1.73
Answers
GPT-4o mini
To determine the maximum distance Gloria can travel with her budget, we need to set up an inequality based on her total budget and the cost structure of the cab ride.
1. **Cab Ride Structure**: The initial fee for the cab ride is $1.73, and for every half mile (represented by \( m \)), there is an additional charge of $0.60.
The total cost for \( m \) half miles therefore can be expressed as:
\[ \text{Total Cost} = 1.73 + 0.60m \]
2. **Budget Limit**: Gloria has a maximum of $37.07 to spend.
3. **Inequality Setup**: We want the total cost to be less than or equal to her budget:
\[ 1.73 + 0.60m \leq 37.07 \]
This is the inequality that can determine the distance \( m \) (in half miles) that Gloria can travel.
So the correct answer based on the provided options is:
**None of the options you provided exactly match this inequality, but you can transform it into various forms if needed.** The correct inequality representation is:
\[ 1.73 + 0.60m \leq 37.07 \]
1. **Cab Ride Structure**: The initial fee for the cab ride is $1.73, and for every half mile (represented by \( m \)), there is an additional charge of $0.60.
The total cost for \( m \) half miles therefore can be expressed as:
\[ \text{Total Cost} = 1.73 + 0.60m \]
2. **Budget Limit**: Gloria has a maximum of $37.07 to spend.
3. **Inequality Setup**: We want the total cost to be less than or equal to her budget:
\[ 1.73 + 0.60m \leq 37.07 \]
This is the inequality that can determine the distance \( m \) (in half miles) that Gloria can travel.
So the correct answer based on the provided options is:
**None of the options you provided exactly match this inequality, but you can transform it into various forms if needed.** The correct inequality representation is:
\[ 1.73 + 0.60m \leq 37.07 \]