Question

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?

Answer 1

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

`x\geq 23.14`

where
`x` represents the number of hours Sean works.

Explanation:

Hourly earnings of Sean from after school job = $6.70

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

We will use unitary method to find earning for
`x` hours.

If 1 hour earnings = $6.70

∴ in
`x` hours earnings in dollars would be =
`6.70* x=6.7x`

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

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

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

`6.7x\geq 155`

Dividing both sides by 6.7.

`(6.7x)/(6.7)\geq (155)/(6.7)`

`x\geq 23.14` (Answer)

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