Question

A school's multicultural club is selling muffins for a fundraiser. The club spends $16.00 on advertising. The cost of ingredients for each muffin is $0.30. The club decides to sell the muffins for $0.75 each. The following equations model this situation: C=0.3m+16 and C=0.75m.

a) Describe what each equation represents.
b) Determine the minimum number of muffins the club will have to sell to cover their total costs.

Answer 1

The equations C = 0.3m + 16 and C = 0.75m represent the cost and revenue for the multicultural club's muffin fundraiser. To determine the minimum number of muffins the club needs to sell to cover their total costs, we set the total cost equation equal to the total revenue equation and solve for m. The minimum number of muffins the club needs to sell is approximately 36.

Step-by-step explanation:

The equations C = 0.3m + 16 and C = 0.75m represent the cost and revenue for the multicultural club's muffin fundraiser.

The equation C = 0.3m + 16 represents the total cost (C) of producing m muffins. The club spends $16.00 on advertising and $0.30 on ingredients for each muffin.

The equation C = 0.75m represents the total revenue (C) from selling m muffins. The club sells each muffin for $0.75.

To determine the minimum number of muffins the club needs to sell to cover their total costs, we need to find the point where total cost equals total revenue. So, we can set 0.3m + 16 = 0.75m and solve for m.

0.3m + 16 = 0.75m

16 = 0.75m - 0.3m

16 = 0.45m

m ≈ 35.56

Since we can't sell a fraction of a muffin, the minimum number of muffins the club needs to sell is 36.