An art supply store charges $24 for an easel and $5 for each brush. The local paint storecharges $18 for an easel and $6 for each brush. If Meg wants to purchase one easeland several brushes, how many brushes would she need to buy before the total cost ofsupplies at the art supply store is less expensive than at the paint store?

7 brushes (6 when they were equal, but at 7 brushes, it is cheaper at the supply store)

Step-by-step explanation:

To find this one, you are going to write two equations, then go from there. For the art supply store, your slope would but 5x, and your y-int would be 24, (as you have to buy an easel whatsoever). That's y=5x+24. For the paint store, your slope in 6x and your y-int in 18, so that's y-6x+18. You can put these two equations into the Desmos graphing calculator, and it shows you that the lines intersect when x=6, so that's when the price would be equal, but to get a better price at the art supply store, you would have to buy 7 brushes, as that is when the price is better.

g(x)=x^2+1

g(-1)=-1^2+1

g(-1)=1+1

g(-1)=2

g(0)=0^2+1

g(0)=0+1

g(0)=1

g(4)=4^2+1

g(4)=16+1

g(4)=17