15. students at wallace junior high are selling chocolate bars for a fundraiser. the table below shows the…

15. students at wallace junior high are selling chocolate bars for a fundraiser. the table below shows the cost of ordering the chocolate bars. price per chocolate bar $0.75 service fee per order $12 shipping cost per order $6.50 students are selling each chocolate bar for $1.50. which of the following inequalities can be used to determine the number of chocolate bars students need to sell in order to make a profit? a 0.75(c + 18.50) < 1.50c b 0.75(c + 18.50) ≥ 1.50c c 0.75c + 18.50 < 1.50c d 0.75c + 18.50 ≥ 1.50c
Answer
Explanation:
Step1: Calculate total cost
The cost per chocolate - bar is $0.75 and the fixed costs per order are the service fee ($12) and the shipping cost ($6.50). So the total cost for $c$ chocolate - bars is $0.75c+12 + 6.50=0.75c + 18.50$.
Step2: Calculate total revenue
The students sell each chocolate - bar for $1.50. So the total revenue for $c$ chocolate - bars is $1.50c$.
Step3: Determine profit - making condition
To make a profit, the total revenue must be greater than the total cost. So the inequality is $0.75c + 18.50<1.50c$.
Answer:
C. $0.75c + 18.50<1.50c$