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?

for x ft^2, the cost will be equal when

79.50 + 1.00x = 0.00 + 2.50x

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

Let's assume the size of the mural is represented by "x" square feet.

For Artist #1, the total cost will be the initial fee plus the cost per square foot:
Total cost for Artist #1 = $79.50 + (1 * x)

For Artist #2, there is no initial fee, so the total cost will only be the cost per square foot:
Total cost for Artist #2 = 2.50 * x

Now, we can set up an equation to find the value of "x" when the total costs are equal:
$79.50 + (1 * x) = 2.50 * x

To solve for "x", let's isolate the variable on one side of the equation:
$79.50 = 2.50 * x - 1 * x
$79.50 = 1.50 * x

Divide both sides of the equation by 1.50 to find the value of "x":
x = $79.50 / 1.50

Now, calculate x to find the size of the mural that will be the same cost for both artists:
x = $53

Therefore, the size of the mural (in square feet) that will be the same cost when painted by either artist is 53 square feet.