Exploring Adding and Subtracting Rational Expressions

The video tutorial covers the concept of proportional and non-proportional relationships, using examples like calorie burn rates and various practice problems. It explains how to determine if a relationship is proportional by comparing ratios and provides real-world scenarios to apply these concepts. The tutorial also includes exercises to reinforce understanding of proportionality and its applications.

What defines a proportional relationship between two quantities?

• The quantities are always different.

• The quantities are always decreasing.

• The ratio or rate of the quantities is equal.

• The quantities are always increasing.

How many calories per minute does Eric burn?

• 9 calories per minute

• 12 calories per minute

• 16 calories per minute

• 14 calories per minute

Why is Lucy's calorie-burning rate considered non-proportional?

• Because she burns fewer calories than Eric.

• Because she runs faster than Eric.

• Because she burns more calories than Eric.

• Because her calorie-burning rate is not consistent.

In the practice problem involving students and buses, what is the ratio of students per bus for 45 students and 2 buses?

• 24 students per bus

• 26 students per bus

• 22.5 students per bus

• 25 students per bus

What is the constant rate of money earned per hour in the practice problem involving hours worked and money earned?

• $9 per hour

• $8 per hour

• $10 per hour

• $11 per hour

In the practice problem involving tickets sold and money made, what is the ratio of money per ticket for 175 dollars and 25 tickets?

• 7 dollars per ticket

• 9 dollars per ticket

• 6 dollars per ticket

• 8 dollars per ticket

What is the unit rate of miles per gallon in the practice problem involving gas usage and miles driven?

• 22 miles per gallon

• 23 miles per gallon

• 20 miles per gallon

• 21 miles per gallon

How much does Mitch pay for a 12-minute long-distance phone call?

• $3.90

• $3.60

• $3.30

• $3.00

How many homes does the real estate office sell in 10 months?

• 75 homes

• 70 homes

• 65 homes

• 60 homes

If Ben works for 14 hours, how much money does he make?

• $119

• $115

• $125

• $110