Question

You are playing a video game. For each diamond you collect, you earn 80 points. You also earn 100 bonus points by completing the level in less than 2 minutes. You need to earn more than 1220 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

You need to collect 15 diamonds in less than 2 minutes in order to complete the level. (80x15=1200)
If you retrieve the diamonds and reach the finish in less than 2 minutes, you will have a total of 1300 points.

Answer 2

`80d+100 \geq 1220`

Explanation:

Let you need 'd' diamonds in less than 2 minutes to advance to the next level.

Now, as per the given conditions, the inequality can written in the form:

`80d+100 \geq 1220`

If we solve this, we will get the number of diamonds or d.

=>
`80d \geq1120`

=>
`d \geq14`

Therefore, you should collect 14 diamonds in less than 2 minutes to advance to the next level.