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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.

Respuesta :

Answer: 110 d +80 ≥1620

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

Step-by-step 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

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