System of Inequalities and Earnings

The video tutorial discusses EDA, who works two part-time jobs: babysitting and scooping ice cream. The goal is to create a system of linear inequalities to represent her earnings and hours worked. EDA earns $8 per hour babysitting and $9 per hour scooping ice cream. The tutorial assigns variables to the hours worked in each job and constructs inequalities based on her total earnings exceeding $105 and total hours being less than 13. The video evaluates different inequality options, ultimately identifying the correct system of inequalities that accurately represents EDA's situation.

What is the main focus of the problem involving EDA?

• Building a system of linear inequalities.

• Determining EDA's hourly wage.

• Finding the best job for EDA.

• Calculating the total hours EDA works.

What does the variable 'x' represent in the context of EDA's jobs?

• Hours spent babysitting.

• Total hours worked in a week.

• EDA's total earnings.

• Hours working at the ice cream shop.

What is the hourly rate for EDA's babysitting job?

• $9 per hour

• $8 per hour

• $10 per hour

• $7 per hour

What is the total amount EDA needs to earn in a week?

• Exactly $105

• Less than $100

• Less than $105

• More than $105

What is the maximum number of hours EDA can work in a week?

• 10 hours

• 12 hours

• 13 hours

• 15 hours

Which inequality correctly represents the total earnings constraint?

• 8x + 9y ≤ 105

• 8x + 9y = 105

• 8x + 9y > 105

• 8x + 9y < 105

Why is the option '8x > 105' incorrect?

• It exceeds the total hours constraint.

• It only considers one job.

• It does not account for total earnings.

• It is not a valid inequality.

What is the correct operation to combine earnings from both jobs?

• Division

• Multiplication

• Subtraction

• Addition

Which option correctly represents the total hours constraint?

• x + y < 13

• x + y > 13

• x + y = 13

• x + y ≥ 13

What is the final correct answer for the system of inequalities?

• 8x + 9y < 105 and x + y > 13

• 8x + 9y > 105 and x + y > 13

• 8x + 9y > 105 and x + y < 13

• 8x + 9y < 105 and x + y < 13