Question

Sydney took a taxi from her house to the airport. The taxi company charged a pick-up fee of $1.60 plus $1.75 per mile. The total fare was $20.85, not including the tip. Write and solve an equation which can be used to determine xx, the number of miles in the taxi ride

Answer 1

Sydney's taxi ride can be represented by the equation 20.85 = 1.60 + 1.75x. Solving for x, we find that Sydney traveled 11 miles.

Step-by-step explanation:

To determine the number of miles Sydney traveled in the taxi ride, we need to set up a linear equation. The total fare is made up of a fixed pick-up fee plus a variable charge per mile. We can use the information given to create the following equation:

Total Fare = Pick-up Fee + (Charge per Mile × Number of Miles)

Let x represent the number of miles. Then, the equation we set up is:

20.85 = 1.60 + 1.75x

To find x, we need to solve for it. Subtract the pick-up fee from both sides of the equation:

20.85 - 1.60 = 1.75x

Then, simplify and solve for x:

19.25 = 1.75x

x = 19.25 / 1.75

x = 11

So, Sydney traveled 11 miles in the taxi.