Question

You are playing a video game. For each diamond you collect, you earn 110 points. You also earn 80 bonus points by completing the level in less than 2 minutes. You need to earn more than 1620 points to continue on to the next level. Write and solve an inequality that represents the number d of diamonds you must collect in less than 2 minutes to advance to the next level.

Answer 1

Answer: 110 d +80 ≥1620

You need to collect at least 14 diamonds in less than 2 minutes to advance to the next level.

Explanation:

Hi, to answer this question we have to write an inequality with the information given:

• Number of diamonds: d
• Points for each diamond: 100
• Points for completing the level in less than 2 minutes: 80
• Points needed for the next level: 1620

So, to represent the number d of diamonds you must collect in less than 2 minutes to advance to the next level.

110 d +80 ≥1620

Solving:

110 d ≥1620-80

110 d ≥1540

d ≥ 1540/ 110

d ≥14