Question

Self-driving taxi service charges $5 per pickup and $0.25 per mile. We’ll Get You. There’s cabs charges $1 per pickup and $0.50 per mile. At how many miles will the two companies charge you the same amount?

Answer 1

Let y = total cost of the taxi service.

let x = amount of miles

We need to create a system of equations to solve this problem.

Taxi company 1:  y = $0.25x + $5

Taxi company 2: y = $0.50x + $1

Set the equations equal to each other

$0.25x + $5 = $0.50x +$1.

Subtract $0.25x from both sides and subtract $1 from both sides.

$4 = $0.25x

Divide both sides by $0.25.

16 miles = x

The companies will charge the same amount of money at 16 miles