Emma is buying a shirt for each member of her school's spirit club. There are 300 students in her school, and 20% of the students are members of the spirit club. Emma could buy the shirts from either Company A or Company B. The cost for buying different numbers of shirts are shown in the table for a Company A and in the graph for the Company B.

Question

Company A (numbers of shirt 10 25 50 100) (Cost $ 145.00 362.50 752.00 1450.00)

What is the cost per shirt for Company A?

Question 2 options:

$145.50

$0.68

$14.50

$17.50

Answer 1

First, we need to determine the number of shirts Emma needs to buy. Given that there are 300 students and 20% are members of the spirit club:

Number of members in the spirit club = 20% of 300 = 0.20 × 300 = 60

Emma needs to buy 60 shirts.

Next, we will calculate the cost per shirt for Company A based on the cost provided for various quantities of shirts.

From the provided costs:

1. For 10 shirts, the cost is $145.00. Cost per shirt = $145.00 / 10 = $14.50

2. For 25 shirts, the cost is $362.50. Cost per shirt = $362.50 / 25 = $14.50

3. For 50 shirts, the cost is $752.00. Cost per shirt = $752.00 / 50 = $15.04

4. For 100 shirts, the cost is $1450.00. Cost per shirt = $1450.00 / 100 = $14.50

Since Emma needs 60 shirts, it is not one of the specified quantities. However, we can infer that the cost for 50 shirts is $15.04 per shirt and for 100 shirts is $14.50 per shirt. Since the cost per shirt generally drops as the volume increases, we can assume that purchasing 60 shirts would likely cost less than $15.04 per shirt but more than $14.50 per shirt.

Thus, for the 60 shirts, the marginal cost will be approximately $14.50 per shirt based on the bulk quantity purchase.

The answer is:

$14.50