Question

Shelina is raising money by partaking in a readathon. She receives $15 for every book that she reads.

Her goal is to collect at least $180, of which she has already earned $75.

Which inequality could be used to determine the number of books, b, that Shelina must read to reach her goal?

Answer 1

15x + 75 ≤ 180

Explanation:

Let b be the number of books that Shelina must read to reach her goal.

The amount of money Shelina will receive for reading b books is 15b.

The amount of money Shelina has already earned is $75.

Therefore, the total amount of money Shelina will have after reading b books is:

15b + 75

To reach her goal of collecting at least $180, the following inequality must be true:

15b + 75 ≥ 180

Subtracting 75 from both sides of the inequality, we get:

15b ≥ 105

Dividing both sides of the inequality by 15, we get:

b ≥ 7

Therefore, Shelina must read at least 7 books to reach her goal of collecting at least $180.