City cabs charges a $2.75 pickup fee and $1.50 per mile traveled. Diego’s dare for a cross-town cab ride is $19.25. How far did he travel in the cab

11 miles

Step-by-step explanation:

To find out how far he travelled we will need to start off by using the equation y =mx+b. Since the pick up fee is $2.75 we will add 2.75 to whatever our x value is making 2.75 our b value. The cab charges $1.50 per mile traveled so that will be our m value. This results in the equation being y = 1.5x + 2.75. To figure out how far he traveled we will need to plug in $19.25 into the equation. This results in the equation being: 19.25 = 1.5x + 2.75. First we will subtract both sides by 2.75. This will result in the equation being 16.5 = 1.5x. Now we will divide both sides by 1.5 to find out how far he traveled. He traveled 11 miles.