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 numbers d of diamonds you must collect in less than 2 minutes to advance to the next level.

Answer 1

110d + 80 > 1620

d > 14

Explanation:

The amount of points from collecting diamonds can be represented by 110d, since you get 110 points for each diamond, d

Add 80 to this to represent the bonus points.

Use a greater than inequality, because you have to get more than 1620 points.

Put this all together:

110d + 80 > 1620

Then, solve for d:

110d + 80 > 1620

110d > 1540

d > 14

So, you have to collect more than 14 diamonds in less than 2 minutes in order to advance to the next level.