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.

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

1 answer

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: \[ \text{Total cost} = (\text{miles} \times 2.70) + \text{passenger charge} \] \[ 24.10 = (m \times 2.70) + 2.50 \]

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

  2. 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."