Adelina wants to earn at least $120 a week to help her parents with bills. She determines that
she can charge $15 an hour to babysit and can earn $12 an hour bagging groceries. She can
only work 10 hours per week. Write and graph a system of linear inequalities that shows the
number of hours she can work so she can help her parents. Use x for the number of hours
babysitting and y for the number of hours bagging groceries.

Respuesta :

The system of linear inequalities that shows the number of hours as described is;

  • x + y <= 10
  • 15x + 12y <= 120

System of linear inequalities

According to the task content;

  • Adelina wants to earn at least $120 a week to help her parents with bills and;
  • She can only work 10 hours per week.

Hence, it follows that;

  • x + y <= 10

  • 15x + 12y <= 120

Read more on inequalities;

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Answer:

5 hours babysitting, 4 hours bagging

OR

9 hours babysitting, 1-hour bagging.

Step-by-step explanation:

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