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?

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

what's that

answer: the correct option is d.

explanation:

it is given that the triangle j'k'l' shown on the grid below is a dilation of triangle jkl using the origin as the center of dilation.

from the given graph it is noticed that k(4,8) and k'(2,4). let origin is defined by o and scale factor is defined by k, then

    (1)

distance formula,

put these values in equation (1).

therefore scale factor is     and option d is correct.