Question

Dianelys took a taxi from her house to the airport. The taxi company charged a pick-up fee of $3.60 plus $5 per mile. The total fare was $18.60, not including the tip. Which equation or tape diagram could be used to represent the context if

x
x represents the number of miles in the taxi ride?

Answer 1

the total fare is shown as $18.60. The pick-up fee is a fixed amount of $3.60, and the per mile charge is $5 for each mile represented by "x."

Explanation:

Let's represent the number of miles in the taxi ride as "x." We know that the taxi company charges a pick-up fee of $3.60 and an additional $5 per mile.

The total fare for the taxi ride, not including the tip, can be represented using the equation:

Total Fare = Pick-up Fee + (Per Mile Rate * Number of Miles)

Total Fare = $3.60 + ($5 * x)

Alternatively, we can also use a tape diagram to represent the context. In the tape diagram, we can divide the total fare into two parts: the pick-up fee and the per mile charge:

Pick-up Fee Per Mile Charge

$3.60 $5 per mile

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$18.60

In the tape diagram, the total fare is shown as $18.60. The pick-up fee is a fixed amount of $3.60, and the per mile charge is $5 for each mile represented by "x."