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.

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?

What is the cost per shirt for Company B?

Which company has the better deal?

How do we calculate the unit rate from a table or graph?

Question 5 options:

x/y

y/x

y - x

x + y

1 answer

To solve the problem, we will first calculate the number of members in the spirit club, then determine the cost per shirt from Company A as well as from Company B (though we need the data from the graph for Company B, which is not provided). After that, we will compare the two costs. Finally, we will address the method of calculating the unit rate from a table or graph.

Step 1: Calculate the number of spirit club members.

Given:

  • Total students in the school = 300
  • Percentage of students in the spirit club = 20%

Number of spirit club members: \[ \text{Number of members} = 300 \times \frac{20}{100} = 300 \times 0.2 = 60 \]

Step 2: Calculate cost per shirt for Company A.

From the Company A table:

  • Cost for 10 shirts = $145.00 → Cost per shirt = \( \frac{145.00}{10} = 14.50 \)
  • Cost for 25 shirts = $362.50 → Cost per shirt = \( \frac{362.50}{25} = 14.50 \)
  • Cost for 50 shirts = $752.00 → Cost per shirt = \( \frac{752.00}{50} = 15.04 \)
  • Cost for 100 shirts = $1450.00 → Cost per shirt = \( \frac{1450.00}{100} = 14.50 \)

The cost per shirt for Company A is approximately $14.50 (when buying 10, 25, or 100 shirts).

Step 3: Determine the cost per shirt for Company B.

Unfortunately, since the graph for Company B is not provided, we cannot calculate the cost per shirt for Company B. If Company B's prices were available, we would calculate them similarly to Company A.

Step 4: Compare the cost per shirt.

Until the cost per shirt for Company B is provided, we cannot definitively say which company has the better deal.

Step 5: How to calculate the unit rate from a table or graph.

The unit rate is calculated by taking the total cost (y) and dividing it by the number of items (x). Therefore, the correct formula for calculating the unit rate from the table or graph is:

\(\text{Unit Rate} = \frac{y}{x}\)

Final Answer for Question 5:

The answer is y/x.