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

Answer:

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.

Step-by-step 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 =  $6.70\times x=6.7x$

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.

$\frac{6.7x}{6.7}\geq \frac{155}{6.7}$

$x\geq 23.14$   (Answer)

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