Hugh has to earn at least $400 to meet his fundraising goal. He has only 100 books that he plans to sell at $8 each. Which inequality shows the number of books, x, Hugh can sell to meet his goal?

20 ≤ x ≤ 400
40 ≤ x ≤ 100
50 ≤ x ≤ 400
50 ≤ x ≤ 100

1 answer

In order to meet his fundraising goal, Hugh needs to earn at least $400. Selling each book at $8, the total amount he can earn by selling x books would be 8x.

So, the inequality that represents the number of books, x, Hugh can sell to meet his goal is:

8x ≥ 400

Dividing both sides by 8, we get:

x ≥ 50

Therefore, the correct inequality is:

50 ≤ x ≤ 400