In the city of Lineville, the taxi rates are based on a linear equation. The cost for a 4-mile ride is $3.10, while a 7-mile ride costs $4.15.
Find a linear equation that fits the given information.

Use your equation to find the cost of a 12-mile ride.

How far can you go if you have $8 to spend on the taxi ride?

If you plan to tip the cab driver 10% of the cost of the ride, how far can you go if you have $10 to spend? Give your answer to the nearest tenth of a mile.

Arrange the steps to solve this system of linear equations in the correct sequence. x + y = -2 2x – 3y = -9 tiles subtract 3x + 3y = -6 (obtained in step 1) from 2x – 3y = -9 (given) to solve for x. substitute the value of x in the first equation (x + y = -2) to get y = 1. the solution for the system of equations is (-3, 1). x = -15 the solution for the system of equations is (-15, 13). add 3x + 3y = -6 (obtained in step 1) to 2x – 3y = -9 (given), and solve for x. x = -3 substitute the value of x in the first equation (x + y = -2) to get y = 13. multiply the first equation by 3: 3(x + y) = 3(-2) 3x + 3y = -6.