Function Notation
Write a sentence of what the following math symbols mean: SR(x)
The revenue of simple plaques
Show a number line that represents: x < 15
x=2
y=2x+5
(2,9)
The equation represents the cost, C, to produce n number of plaques. What is our total cost to produce 8 plaques?
C = 3.75n + 1.25
$31.25 is the cost to produce 8 plaques
Write a sentence of what the following math symbols mean: C(x)
The cost of complex plaques
Solve this system:
y=5x-4
x=10
(10, 46)
Show a number line that represents x ≥ -2
What would be the BEST method to use to solve this system of equations?
x=2y-4
y=7x+29
substitution
The equation represents the cost, C, to produce n number of plaques. If our budget is $74, how many plaques can we produce?
C = 3.75n + 1.25
19 plaques
Write a sentence of what the following math symbols mean: CR(10)
The revenue of 10 complex plaques
What would be the BEST method to use to solve this system of equations?
2x - 5y = 25
6x + 5y = 34
elimination
4 + 3x > 13
x > 3
y=3x+10
x-y=12
(-11,-23)
What is the breakeven point of a cost vs. revenue system of equations?
Write a sentence of what the following math symbols mean: M(x) = MR(x)
The cost of a medium plaque is equal to the revenue of a medium plaque (aka the breakeven point)
Simplify the expression: 7 + 10 × 5 + 11
68
-2x - 6 < 10
x > 8
-5x+4y=3
x=2y-15
(9,12)
Each plaque uses one 6” by 6” board of oak plywood that costs $2.50 per plaque. You also have a one time cost of $5 to purchase reusable items like sandpaper and glue.
Write a linear equation to represent the total cost, C, to make a certain number of plaques, n.
C = 2.5x + 5
Write a sentence of what the following math symbols mean: SR(3) < S(3)
The revenue of 3 simple plaques is less than the cost of 3 simple plaques
Simplify the expression: 20 ÷ (4 − (10 − 8))
10
The question is at the link: https://docs.google.com/document/d/1ArP2ouwF7ReVy_4WgEzsJ_xvZJo0f22qP1rFj2ak-kw/edit?tab=t.0
a. y > 4x − 3
2x + y ≥ 3
6x-5y=-32
-7x+8y=46
(-2,4)
Below is a cost equation [S(x)] and revenue equation [SR(x)] for simple plaques. How many plaques do we need to sell to start making a profit?
S(x)= 15x + 50.75
SR(x)= 20.75x
(The breakeven point is 8.83 plaques)