Understanding Percentages and Relationships

This video tutorial covers practice problems related to percent increase and decrease, drawing diagrams to represent these changes, and writing percentages as a percentage of the initial amount. It also includes graphing the relationship between diameter and circumference and selecting equations to represent relationships between quantities.

If Y is smaller than X, what can we infer about the relationship between Y and X?

• Y is equal to X

• Y is an increase relative to X

• Y is unrelated to X

• Y is a decrease relative to X

How do you represent a 25% decrease in terms of Y and X?

• Y = 1.25X

• Y = 1.75X

• Y = 0.75X

• Y = 0.25X

What does a 50% increase in the amount of flour used by a bakery look like in a diagram?

• The diagram shows half the amount of last month

• The diagram shows one and a half times the amount of last month

• The diagram shows twice the amount of last month

• The diagram shows the same amount as last month

If a baker used 75% less milk this month compared to last month, what fraction of last month's milk was used this month?

• 50%

• 100%

• 75%

• 25%

How do you express a 40% increase in snow as a percentage of last year's snow?

• 60% of last year's snow

• 100% of last year's snow

• 40% of last year's snow

• 140% of last year's snow

If there were 25% fewer sunny days this year, what percentage of last year's sunny days does this year have?

• 125%

• 50%

• 75%

• 25%

What is the relationship between the diameter and circumference of a circle?

• The circumference is twice the diameter

• The diameter is twice the circumference

• The diameter is Pi times the circumference

• The circumference is Pi times the diameter

If the diameter of a circle is 2, what is the circumference?

• 2Pi

• 2

• 4

• Pi

If Priia bought X grams of flour and Claire bought 38 grams more, which equation represents the amount Claire bought?

• Y = X + 38

• Y = X - 38

• Y = 38X

• Y = X/38

What is the equivalent of 1 in terms of fractions?

• 3/2

• 4/2

• 2/2

• 1/2