Answer:
At least 22 hours in a week.
Step-by-step explanation:
Given: Manuela make $15 per hour.
Her employers deduct $125 from her weekly check.
Manuela receives at least $205 in her weekly paycheck.
Lets assume, Manuela working hour in a week be "x".
We know, Total amount on week paycheck= [tex]Hourly\ pay\times number\ of\ hours- Deduction[/tex]
Now, forming an inequality to determine weekly pay of Manuela.
⇒ [tex]15\times x- 125\geq 205[/tex]
⇒[tex]15x-125\geq 205[/tex]
Adding both side by 125
⇒[tex]15x\geq 205+125[/tex]
⇒[tex]15x\geq 330[/tex]
Divinding both side by 15
⇒[tex]x\geq \frac{330}{15}[/tex]
∴[tex]x \geq 22\ hours[/tex]
Hence, Manuela works at least 22 hours per week.
