Question

Sam needs a web designer .Designer A is offering her services for an initial 500 in addition to 100 per hour. designer B is offering her services for an initial 600 in addition to 50 per hour. when will the two designers charge the same amount of energy?

Answer 1

The designers will Charge the same amount at $700. 500+100*2=700 and 600+50*2=700

Answer 2

They will charge the same cost after 2 hours.

Explanation:

Using the problem values, we can find an expression to each designer cost, and then solve the system.

Designer A:
`y=500+100x`

Designer B:
`y=600+50x`

The amount that has to be with the variable is the fee per hour, because we don't know the number of hours. Now, we solve this system to find the common point, we equalize both equations, because the problem is asking for the moment when the charge the same price
`y`:

`y=y\\500+100x=600+50x\\100x-50x=600-500\\50x=100\\x=(100)/(50)=2`

This means that they will charge the same cost after 2 hours.