QuestionDiego paid a \$2.25 pickup fee and \$1.75 per mile. If his total fare was \$28.50, how far did he travel?

Studdy Solution

STEP 1

Assumptions1. The pickup fee is $.25. The cost per mile traveled is$ 1.753. The total fare for the cab ride is $28.504. The total fare includes both the pickup fee and the cost for the miles traveled

STEP 2

First, we need to find the cost for the miles traveled. We can do this by subtracting the pickup fee from the total fare.
$Cost\, for\, miles\, traveled = Total\, fare - Pickup\, fee$

STEP 3

Now, plug in the given values for the total fare and pickup fee to calculate the cost for the miles traveled.
$Cost\, for\, miles\, traveled = \$28.50 - \$2.25$

STEP 4

Calculate the cost for the miles traveled.
$Cost\, for\, miles\, traveled = \$28.50 - \$2.25 = \$26.25$

STEP 5

Now that we have the cost for the miles traveled, we can find the distance traveled by dividing this cost by the cost per mile.
$Distance\, traveled = Cost\, for\, miles\, traveled / Cost\, per\, mile$

STEP 6

Plug in the values for the cost for miles traveled and the cost per mile to calculate the distance traveled.
$Distance\, traveled = \$26.25 / \$1.75$

STEP 7

Calculate the distance traveled.
$Distance\, traveled = \$26.25 / \$1.75 =15\, miles$ Diego traveled15 miles in the cab.

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