Sovi.AI - AI Math Tutor

Scan to solve math questions

QUESTION IMAGE

serena’s daughter wants to earn at least $87 this month. - she earns $1…

Question

serena’s daughter wants to earn at least $87 this month.

  • she earns $12 per hour walking dogs.
  • she earns $15 in allowance each month.

which statement represents all possible numbers of hours serena’s daughter could spend walking dogs this month to earn at least $87?

  • less than or equal to 5 hours
  • less than or equal to 6 hours
  • greater than or equal to 5 hours
  • greater than or equal to 6 hours

Explanation:

Step1: Define Variables and Equation

Let \( h \) be the hours walking dogs. Total earnings: \( 12h + 15 \geq 87 \).

Step2: Solve the Inequality

Subtract 15: \( 12h \geq 87 - 15 = 72 \).
Divide by 12: \( h \geq \frac{72}{12} = 6 \).
So \( h \) is greater than or equal to 6 hours.

Answer:

greater than or equal to 6 hours (the fourth option, assuming the options are ordered as given: the last option "greater than or equal to 6 hours")