Exploring Rational Expressions in M7 4 3 kz

The video tutorial explains the concept of proportional and non-proportional relationships, using examples such as sugar usage in baking and cost per item. It provides methods to determine if relationships are proportional by comparing rates and ratios. Practical examples include calculating costs, distances, and quantities to reinforce understanding.

What is the key characteristic of a proportional relationship?

• The quantities have different rates.

• The quantities are unrelated.

• The quantities change randomly.

• The quantities have the same rate of change.

In the example with cookies, why is the relationship considered non-proportional?

• The rates of sugar per dozen are not equal.

• The rates of sugar per dozen are increasing.

• The rates of sugar per dozen are all equal.

• The rates of sugar per dozen are decreasing.

What is the constant rate in the example comparing cost per item?

• $6 per item

• $5 per item

• $8 per item

• $7 per item

Why is the relationship between hours of snow and total accumulation considered non-proportional?

• All values are the same.

• The values are decreasing.

• None of the values are the same.

• Only two sets of values are the same.

In the example with green and red marbles, what makes the relationship non-proportional?

• All values are the same.

• None of the values are the same.

• Only one value is different.

• The values are increasing.

What is the unit price in the example with splitting dollars among items?

• 70 cents per item

• 85 cents per item

• 75 cents per item

• 80 cents per item

How many cups of sugar are needed per lemon in the lemonade example?

• 1 cup

• 1/2 cup

• 1/3 cup

• 1/4 cup

How much does Lucy spend on coffee in 5 days?

• $5.00

• $6.25

• $7.50

• $8.75

How many miles does a car travel in 8 hours at a constant speed of 52 miles per hour?

• 416 miles

• 500 miles

• 400 miles

• 450 miles

How many umbrellas does the company make in two weeks?

• 1,200 umbrellas

• 1,100 umbrellas

• 1,050 umbrellas

• 1,000 umbrellas