You need to paint your house to sell it. You can choose between two different painters, George and Henry. George will charge 90$ for the paint, and then $40 per hour. Henry will charge $120 for the paint and then $35 per hour.

After how many hours will the cost be the same?
If you estimate it will take about 10 hours to paint the room, who should you choose?

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sonixsensation sonixsensation · Answer 1 · 2022-02-28T08:53:03+01:00

Answer:

At 6 hours the cost is the same. At 10 hours of service Henry is cheaper.

Step-by-step explanation:

This is simple. Follow my lead!

First we must create an equation for George

He charges $90 initially and then $40 per hour

So George's equation is:

[tex]y = 40x + 90[/tex]

Now let's find Henry's equation!

He charges $120 initially and then $35 per hour

So Henry's equation is:

[tex]y = 35x + 120[/tex]

1) To find when they will be the same, just set them equal to each other and solve for x.

[tex]40x + 90 = 35x + 120 \\ - 35x \\ 5x + 90 = 120 \\ - 90 \\ 5x = 30 \\ \div 5 \\ x = 6[/tex]

This means that when x = 6 or at 6 hours in the cost is the same!

2) Just solve both equations with x = 10

[tex]y = 40(10) + 90 \\ y = 400 + 90 \\ y = 490[/tex]

At 10 hours George's service costs $490!

[tex]y = 35(10) + 120 \\ y = 350 + 120 \\ y = 470[/tex]

At 10 hours Henry's service costs $470!

$470 is less than $490 so that means Henry is more cheaper!

Yay! We did it!

Brainliest Appreciated! If you have questions please don't hesitate to comment.