Inequalities and Cell Phone Plans

The video tutorial covers modeling and solving inequalities, using a cell phone plan problem as an example. It explains how to create an inequality from the problem, solve it step-by-step, and interpret the solution. The tutorial emphasizes understanding the terms and operations involved, such as the significance of 'per' indicating multiplication, and the importance of rounding down in maximum scenarios.

What is the primary focus when modeling and solving inequalities?

• Ignoring word problems

• Memorizing formulas

• Creating equations or inequalities from word problems

• Finding the exact solution

What does Tamara's cell phone plan charge per minute?

• A fixed monthly fee

• A variable fee based on data usage

• S cents per minute

• A one-time setup fee

What is the monthly fee for Tamara's cell phone plan?

• $25

• $15

• $29.50

• $19

What is the total budget Tamara has for her cell phone expenses?

• $19

• $29.50

• $25

• $2950

What does the word 'per' indicate in the context of the problem?

• Addition

• Subtraction

• Multiplication

• Division

What is the first step in solving the inequality for Tamara's phone usage?

• Subtracting $19 from both sides

• Multiplying both sides by 0.07

• Adding $19 to both sides

• Dividing both sides by 0.07

After subtracting the monthly fee, what is the remaining amount in the inequality?

• $10.50

• $29.50

• $19

• $0.07

What is the final step in solving the inequality for the maximum minutes?

• Adding $19 to both sides

• Subtracting $19 from both sides

• Multiplying both sides by 0.07

• Dividing both sides by 0.07

What is the maximum number of minutes Tamara can use while staying within her budget?

• 200 minutes

• 150 minutes

• 250 minutes

• 100 minutes

What should you do if you get a decimal when solving an inequality for a maximum value?

• Round it up

• Round it down

• Ignore it

• Leave it as a decimal