Smart Nails vs. Polish'd
Who offers the better deal?
Bianca and Amaya want to get their nails done for the school dance coming up. They're on a strict budget so they have to find a good deal. They looked at 2 of their favourite nails salons in the G.T.A, "Smart Nails" and "Polish'd". At “Smart Nails” you can get a manicure for $30 plus $2 for a design per nail. At “Polish’d” you can get a manicure for $25 plus $3 for a design per nail. Which is a better deal if Amaya wants a manicure + design on 2 nails and if Bianca wants a manicure + designs on all 10 of her nails?
Variables
Equations
Polish'd: y+3x+25
How to find the Point of Intersection
2x+30 = 3x+25
30-25 = 3x-2x
5 = x
Now that you've found the value of x. Replace it with x in both equations to find the value of y. They should be the same.
Smart Nails:
y=2x+30
y=2(5)+30
y=10+30
y=40
Polish'd:
y=3x+25
y=3(5)+25
y=15+25
y=40
so x= 5 and y=40 and the point of intersection is (5,40)