Landis and her father took a taxi cab that charges $2.70 per mile plus $1.25 for each passenger, and they paid a total of $24.10.

Question

How can Landis correctly determine the number of miles the taxi traveled?
Responses
She can find the charge for the number of miles driven by dividing the total, $24.10, by 2.70. Then she could add $2.50 to the quotient.
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She can find the charge for the number of miles driven by adding
$2.50 to the total cost, $24.10. Then, she could divide the sum by 2.70.

She can find the charge for the number of miles driven by dividing the total, $24.10, by 2.70. Then she could subtract $2.50 from the quotient.

She can find the charge for the number of miles driven by subtracting $2.50 from the total cost, $24.10. Then, she could divide the difference by

Answer 1

To determine the number of miles the taxi traveled, Landis needs to account for both the mileage charge and the passenger charge.

1. The charge for the taxi ride consists of:

   • A fee of $2.70 for each mile traveled.
   • A fee of $1.25 for each passenger (in this case, 2 passengers, Landis and her father, which amounts to $1.25 * 2 = $2.50).

2. The total cost paid for the taxi ride is given as $24.10.

So, the equation for the total cost can be set up as: \[ \text{Total cost} = (\text{miles} \times 2.70) + \text{passenger charge} \] \[ 24.10 = (m \times 2.70) + 2.50 \]

3. Rearranging the equation, we can first subtract the passenger charge of $2.50 from the total cost: \[ 24.10 - 2.50 = m \times 2.70 \] \[ 21.60 = m \times 2.70 \]

4. Now, to find the number of miles \( m \), divide both sides by $2.70: \[ m = \frac{21.60}{2.70} \]

Therefore, Landis can correctly determine the number of miles the taxi traveled by subtracting $2.50 from the total cost ($24.10) and then dividing the difference by $2.70.

The correct response from the options you provided would be:

"She can find the charge for the number of miles driven by subtracting $2.50 from the total cost, $24.10. Then, she could divide the difference by $2.70."