Question

Nicole took a taxi from her house to the airport. The taxi company charged a pick-up fee of $2.90 plus $1.75 per mile. The total fare was $44.90, 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

25.66 miles

Explanation:

fee of $2.90 plus --> $2.90 + _______ = ______

total fare was $44.90--> ______ +______ = $44.90

$1.75 per mile,per mile would be x since the number of miles are unknown

$1.75 per mile --> ______ + $1.75x = ______

Put together: $2.90 + $1.75x = $44.90

Note: It could be written as '$1.75x + $2.90 = $44.90', it really doesn't matter

1. Subtract $2.90 from both sides : $1.75x + $2.90 - $2.90 = $44.90-$2.90 resulting in $1.75x = $44.90

2. Divide $1.75x form both sides: $1.75/$1.75x = $44.90/$1.75 resulting in x=25.66*rounded from 25.6571428571

x=25.66 miles

Note: If you are subtracting,adding, or etc. on one side, you HAVE to do it on the other side too.