A band will cell CDs of their music at their concert for $5.00 each. The band ordered 300 CDs at a cost of 1.25 each. Which inequality represents the number of CDs,n, the band needs to sell to make a profit of at least $500?

A) n≥175
B )n≥100
C) n≥133
D) n≥75

5n >= 300*1.25 + 500

5n >= 375+500
n >= 175

this is dumb

To find the inequality that represents the number of CDs the band needs to sell to make a profit of at least $500, we can use the following formula:

Profit = Revenue - Cost

Let's break it down step by step:

1. Revenue: The revenue is calculated by multiplying the number of CDs sold by the selling price per CD. Since each CD is sold for $5.00, the revenue can be expressed as:
Revenue = 5n, where n represents the number of CDs sold.

2. Cost: The cost is calculated by multiplying the number of CDs ordered by the cost per CD. Since each CD costs $1.25, the cost can be expressed as:
Cost = 1.25(300) = $375, as the band ordered 300 CDs.

3. Profit: The profit is the difference between the revenue and the cost. So, the profit can be expressed as:
Profit = 5n - 375.

Now we know that the band needs to make a profit of at least $500. Hence, the inequality representing this is:
5n - 375 ≥ 500.

To solve for n, we can rearrange the inequality as follows:
5n ≥ 500 + 375
5n ≥ 875

Finally, we can divide both sides of the inequality by 5 to isolate n:
n ≥ 875/5
n ≥ 175.

Therefore, the correct inequality representing the number of CDs the band needs to sell to make a profit of at least $500 is n ≥ 175. So, option A) n≥175 is the correct answer.