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

Answer 1

You need to collect 14 diamonds in atleast a minute and 40 sec so it would be a diamond in every 5 seconds and then finish the level in  40 seconds

Answer 2

Given

For each diamond you collect, you earn 80 point

earn 100 bonus points by completing the level in less than 2 minutes.

earn more than 1220 points to continue on to the next level

Find the inequality that represents the numbers dd of diamonds you must collect in less than 2 minutes to advance to the next level.

To proof

As given in the question

For each diamond  earn point = 80

bonus points by completing the level in less than 2 minutes = 100

earn more than 1220 points to continue on to the next level

Let us assume that the number of diamond = d

The inequality written in the form

we  get

$80d + 100 \geq 1220$

now solving the above equation

$80d \geq1120$

$d \geq14$

Thus the  numbers  of diamonds you must collect in less than 2 minutes to advance to the next level be 14.

Hence proved