Question

Select the correct inequality for the word problem:

You have $14 in your pocket. A taxi has a ride fee of $5 plus an additional fee of $0.60 per mile what is the most miles you could ride in the taxi without using all of your money?


0.60+5m≤14


0.60m+5<14


0.60m+5>14


0.60m+5≤14


0.60m+5≥14


0.60+5m<14

Answer 1

To determine the correct inequality for the problem, we need to express the total cost of the taxi ride in terms of miles (m).

The total fare for the taxi ride consists of a base fee of $5 plus a charge of $0.60 per mile. Therefore, the total cost can be expressed as:

\[ \text{Total Cost} = 5 + 0.60m \]

You want to ride the taxi without using all of your $14. This means the total cost should be less than or equal to $14. So, we can represent this relationship with the inequality:

\[ 5 + 0.60m \leq 14 \]

Now, from the options provided, the correct inequality that corresponds to this situation is:

\[ 0.60m + 5 \leq 14 \]

Thus, the correct choice is:

**0.60m + 5 ≤ 14**