Question

Ryan must purchase new pillows and blankets for a donation drive to help people in need. Each new pillow costs $8 and each new blanket costs $25. Ryan can spend at most $600, and he must purchase at least 20 blankets. Let x represent the number of new pillows. Let y represent the number of new blankets. Which inequalities are among the constraints for this situation? Select each correct answer.

x≥20

x > 0

y≥20

25x+8y≤600

8x+25y≤600

x+y≥600

Answer 1

The inequalities that are among the constraints for this situation are: x ≥ 20 and 25x+8y ≤ 600.

Step-by-step explanation:

The inequalities that are among the constraints for this situation are:

x ≥ 20 - Ryan must purchase at least 20 blankets.

25x+8y ≤ 600 - Ryan can spend at most $600.

y ≥ 20 - There is no specific information given about the minimum number of pillows, so this inequality is not among the constraints.

x, y > 0 - Since Ryan must purchase new pillows and blankets, the number of pillows and blankets must be greater than zero.

So, the correct inequalities among the constraints are:

x ≥ 20 and 25x+8y ≤ 600.

Answer 2

if you must buy at least 20 blankets you will need to spend $500 .