Answer:
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: