Answer: a) c(x) = 0.124x + 1.1, b) 13 units
Step-by-step explanation: Revenue function = R(x) = 0.21x
Profit function = p(x) = 0.086 - 1.1
Cost function = c(x) =?
A)
Recall that profit = total revenue - total cost
Hence, total cost = total revenue - profit
c(x) = 0.21x - (0.086x - 1.1)
c(x) = 0.21x - 0.086x + 1.1
c(x) = 0.124x + 1.1
B)
Break even point is the point where total revenue equals total cost
R(x) = c(x)
0.21x = 0.124x + 1.1
0.21x - 0.124x = 1.1
0.086x = 1.1
x = 1.1/0.086
x = 12.79 which is approximately 13 units
In slope intercept form this is equal to y=3/2x+8. If you want it in decimal form it would be y=1.5x+8.
Answer:
C. 150
Step-by-step explanation:
60+150+120+270=600
600/4=150
Answer:
lines b and c are perpendicular
Step-by-step explanation:
Use slope
slope for parallel is the same
slope for perpendicular is negative reciprocal
line a slope- 1-3/-2-0 is -2/-2 or 1
line b slope- 1-4/4-6 is -3/-2 or 3/2
line c slope- 3-1/1-4 is 2/-3 or - 2/3
none are the same so none are parallel
- 2/3 is the negative reciprocal of 3/2 so lines b and c are perpendicular
Answer:
m = 1
b = 0
Step-by-step explanation:
Slope(m) = 
Y-intercept(b) = 0
Equation: y = x
