Question

You are starting a sock company. You must determine your costs to manufacture your product.

The start-up cost is $2000 (which helps you purchase sewing machines). Material and labor is $2.50 per pair of socks.

a. Write an equation to model your company’s cost for manufacturing the socks. (i.e. y=mx+b )
b. Which variable represents the domain? Explain your answer.
c. What is the domain for this situation?
d. Which variable represents the range? Explain your answer.
e. What is the range for this situation?
f. Using your equation, what would be the cost of manufacturing 25 pairs of socks?
g. How many socks could you make with $2500?
h. Create a coordinate graph on a sheet of paper to represent this situation. Describe the graph. Include the dimensions you would use for the x and y axes.

Answer 1

these are your answers: a. y = 2.5x + 2000

b. The variable x represents the domain because the domain is the range of the possible x values.

c. x ≥ 0

d. The variable y represents the range because the range is the range of the possible y values.

e. y ≥ 2000

f. y = 2.5(25) + 2000

y = 62.5 + 2000

y = $2062.50

g. 2500 = 2.5x + 2000

2.5x = 500

x = 200

Explanation:

you would have to factor in the different numbers in order to get these answers and try to solve the missing variable. hope this helps :)