Please help:

Jaylee wants to have a mural for her room. She has two bids: #1 Artist charges an initial fee of $79.50, plus $1 sq ft. Artist #2 does not charge a initial fee and charges $2.50 sq ft. Which size of mural(in sq ft) will be the same cost when painted by either artist?

Let x = sq ft

79.50 + x = 2.50x

Solve for x.

To find the size of the mural (in square feet) that will have the same cost when painted by either artist, we need to set up an equation.

Let's say the size of the mural in square feet is x.

For Artist #1, the cost would be the initial fee of $79.50 plus $1 per square foot. So the cost for Artist #1 would be 79.50 + 1x.

For Artist #2, the cost would be $2.50 per square foot. So the cost for Artist #2 would be 2.50x.

We want to find the size of the mural, x, where the cost for both artists is the same. So we set up the equation:

79.50 + 1x = 2.50x

Now let's solve this equation to find the value of x:

First, let's subtract 1x from both sides:

79.50 = 2.50x - 1x

Simplifying the right side:

79.50 = 1.50x

Next, divide both sides by 1.50:

x = 79.50 / 1.50

Now, let's calculate:

x = 53 square feet

Therefore, a mural with a size of 53 square feet will have the same cost when painted by either artist.