Question

1. Allison’s middle school team has designed t-shirts containing their team name and color. Allison and her friend Nicole have volunteered to call local stores to get an estimate on the total cost of purchasing t-shirts. Print-o-Rama charges a set-up fee, as well as a fixed amount for each shirt ordered. The total cost is shown below for the given number of shirts. Value T’s and More charges $8 per shirt. Which company should they use?

a. Does either pricing model represent a proportional relationship between the quantity of t-shirts and the total cost? Explain.

b. What is the constant of proportionality of Value T’s and More? What does it represent?

c. How much is Print-o-Rama’s set-up fee?

d. If you need to purchase 90 shirts, write a proposal to your teacher indicating which company the team should use. Be sure to support your choice. Determine the number of shirts that you need for your team.

Answer 1

the numbers are missing here, so I looked for a similar question:

Print-O-Rama

# shirts total cost

10 $95

50 $375

a. Does either pricing model represent a proportional relationship between the quantity of t-shirts and the total cost? Explain.

Value T’s and More offers a proportional relationship since each t-shirt costs $8 regardless of the number of t-shirts

b. What is the constant of proportionality of Value T’s and More? What does it represent?

$8 per t-shirt

f(c) = $8t

the function of total cost = $8 times the number of t-shirts ordered

c. How much is Print-o-Rama’s set-up fee?

using the high-low method

variable cost = ($375 - $95) / /50 - 10) = $7 per t-shirt

fixed cost (set-up fee) = $375 - (50 x $7) = $25

d. If you need to purchase 90 shirts, write a proposal to your teacher indicating which company the team should use. Be sure to support your choice. Determine the number of shirts that you need for your team.

purchasing 90 t-shirts at Print-o-Rama costs = $25 + (90 x $7) = $655

purchasing 90 t-shirts at Value T’s and More costs = 90 x $8 = $720

you should purchase the t-shirts at Print-o-Rama since the cost is lower.