Question

Jacob took a taxi from his house to the airport. The taxi company charged a pick-up fee of $1.30 plus $5 per mile. The total fare was $16.30, not including the tip. Write and solve an equation which can be used to determine x

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x, the number of miles in the taxi ride

Answer 1

To determine the number of miles in the taxi ride, set up an equation with the given information. Solve the equation to find the value of x, which represents the number of miles.

Step-by-step explanation:

To determine the number of miles in the taxi ride, we can set up an equation using the given information. Letting x represent the number of miles, we know that the total fare is $16.30. This total fare includes a pick-up fee of $1.30 and $5 per mile. So the equation is:

16.30 = 1.30 + 5x

To solve this equation, we can subtract 1.30 from both sides to isolate the term with x:

16.30 - 1.30 = 5x

Simplifying, we get:

15 = 5x

Finally, we can divide both sides by 5 to solve for x:

x = 3

Therefore, Jacob took a taxi ride of 3 miles.

Answer 2

To write and solve an equation to determine the number of miles, x, in Jacob's taxi ride, we can use the information provided. The taxi company charges a pick-up fee of $1.30 plus $5 per mile. The total fare, excluding the tip, is $16.30.

Let's break down the information and set up the equation:

1. Pick-up fee: $1.30

2. Cost per mile: $5

The total fare, excluding the tip, is $16.30. This can be represented by the equation:

Total fare = Pick-up fee + (Cost per mile * Number of miles)

$16.30 = $1.30 + ($5 * x)

Simplifying the equation:

$16.30 = $1.30 + $5x

Now, we can solve for x, the number of miles, by isolating the variable:

$16.30 - $1.30 = $5x

$15 = $5x

Dividing both sides of the equation by $5:

$\frac{15}{5} = \frac{5x}{5}$

3 = x

Therefore, the number of miles in Jacob's taxi ride is 3 miles.

Step-by-step explanation: