Respuesta :
Answer:
The inequality representing how many hours he should work in order to reach his goal would be
[tex]x\geq 23.14[/tex]
where [tex]x[/tex] 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 [tex]x[/tex] hours in order to earn at least $155.
We will use unitary method to find earning for [tex]x[/tex] hours.
If 1 hour earnings = $6.70
∴ in [tex]x[/tex] hours earnings in dollars would be = [tex]6.70\times x=6.7x[/tex]
Now, we know Sean needs at least $155 to buy a new video game.
This means his earnings working [tex]x[/tex] hours must be at least $155.
Thus, the inequality representing how many hours he should work in order to reach his goal would be
[tex]6.7x\geq 155[/tex]
Dividing both sides by 6.7.
[tex]\frac{6.7x}{6.7}\geq \frac{155}{6.7}[/tex]
[tex]x\geq 23.14[/tex] (Answer)
Thus, Sean should work a minimum of 23.14 hours to earn at least $155.
