Nails, Nails, Nails
Come to our nail salon the cheapest in the business!!!
Snazzy Nails has the cheapest prices!!!
Simple acrylic nails.
Nail art
Toe nails
How do we give you a better service than the other leading nail care service provider?
Variables
Then y is the amount of money you will be paying/spending.
Snazzy nails prices!!!
Slope and y intercept form:
y=mx+b
y=7x+5
Standard form:
Ax + Bx + C = 0
0=7x-y+5
Leading Nail Care Provider.
Slope and y intercept form:
y=mx+b
y=5x+10
Standard form:
Ax + Bx + C = 0
0=5x-y+10
Solution - Solving for a Point of Intersection
1. We can solve by graphing
Using the equations given for each line, we can graph each line using the y intercept and rise over run for slope.
Snazzy Nails Salon
y = mx+b
y=7x+5
+5 is the y intercept so plot it
- Then use rise over run to graph the slope which is 7
- Graph the line
Leading Nail Care Provider
y = 5x + 10
- Repeat same steps
Then, using the 2 graphed lines, find the point of intersection. On the graph, the point of intersection is 2.5 hours spent on the nails which will result in you paying $22.5.
2. You can also solve these linear systems by substitution (algebraically)
y = 5x + 10
y = 7x + 5
Sub in one equation into the other and solve for x
7x + 5 = 5x + 10
2x+5 = 10
2x = 5
x= 5/2
x = 2.5
Now sub x back into any equation and solve for y
y = 7(2.5) + 5
y = 22.8
Therefore, the point of intersection is (2.5 , 22.5)
Snazzy Nail's Prices Compared to The Leading Nail Care Provider.
red line- leading nail care provider's prices
blue line- Snazzy nail's prices
Conclusion
The break even point is (POI) $22.5 and 2.5 hours (2.5,22.5).
So at 2.5 hours both salons will charge you $22.5.
After the break even point the leading nail care provider is cheaper.