Sean earns 6.70 per hour working after school. he needs at least $155 to buy a new video game. write an inequality that describes how many hours he must work to reach his goal?

The inequality representing how many hours he should work in order to reach his goal would be

where represents the number of hours Sean works.

Step-by-step explanation:

Hourly earnings of Sean from after school job = $6.70

Let Sean work for hours in order to earn at least $155.

We will use unitary method to find earning for hours.

If 1 hour earnings = $6.70

∴ in hours earnings in dollars would be =  

Now, we know Sean needs at least $155 to buy a new video game.

This means his earnings working   hours must be at least $155.

Thus, the inequality representing how many hours he should work in order to reach his goal would be

Dividing both sides by 6.7.

  (Answer)

Thus, Sean should work a minimum of 23.14 hours to earn at least $155.