Question

Q.15. Bloom Pet Supplies makes a profit of $5.50 per bag on its line of dog food. Total expenses

associated with the sale of dog food stand at $2,500 per day. If the store wants to make a profit of
at least $5,225 per day, which inequality represents how many bags of dog food d the store must
sell to meet their goal?
A. 5.50d 2,500 ≥ 5,225
B. 5.50 2,500d ≥ 5,225
C. 5.50d +2,500 ≥ 5,225
D. 5.50 +2,500d ≥ 5,225

Answer 1

Let's use option C to represent the relationship between the number of bags of dog food sold and the profit made:

Profit per bag of dog food = $5.50

Total expenses per day = $2,500

The store wants to make a profit of at least $5,225 per day.

If d represents the number of bags of dog food sold, then the profit made can be represented as:

Profit = Revenue - Expenses

Revenue = Profit + Expenses

Revenue = $5.50d + $2,500

To make a profit of at least $5,225 per day, we can set up the following inequality:

$5.50d + $2,500 ≥ $5,225

Simplifying:

$5.50d ≥ $2,725

Dividing both sides by $5.50:

d ≥ 500

Therefore, the store must sell at least 500 bags of dog food per day to make a profit of at least $5,225 per day.

The correct inequality that represents this relationship is option C: 5.50d +2,500 ≥ 5,225.