Respuesta :
Answer:
2 hours.
Step-by-step explanation:
We know that lifeguarding pays 18 per hour and babysitting pays 10 per hour.
We also know that he can't work more than 14 hours and has to earn a minimum of $180. Let's lay the facts out plainly
Lifeguarding: $18/h
Babysitting: $10/h
H [tex]\leq[/tex] 14
Weekly Pay [tex]\geq[/tex] $180
We know he works 9 hours lifeguarding. If he works for 9 hours at $18 an hour he will be paid $162.
9 * 18 = 162
If he already has that much money he needs to earn $18 more to meet his $180 requirement
180 - 162 = 18
If he needs 18 dollars and can only babysit, he has to work 2 hours.
18/10 = 1.8
Because it states the number of whole hours needed we will round up to to.
Let's check the requirements one last time
Total hours: H [tex]\leq[/tex] 14
Total hours: 9 + 2 = 11 This one is good!
Weekly Pay: [tex]\geq[/tex] $180
9(18) + 2(10) = 182
162 + 20 = 182
This one is good as well.
He has to work 2 whole hours babysitting.
