Unit 4, Proportional Relationships and Percentages

Front

What is a proportional relationship?

Back

A proportional relationship is a relationship between two quantities where the ratio of one quantity to the other quantity is constant.

Front

How do you find the constant of proportionality?

Back

The constant of proportionality can be found by dividing one quantity by the other in a proportional relationship (y/x).

Front

What is 44% of 325?

Back

143

Front

How do you convert a percentage to a decimal?

Back

To convert a percentage to a decimal, divide the percentage by 100. For example, 34% = 34/100 = 0.34.

Front

What is the formula for finding the total cost in a proportional relationship?

Back

Total Cost = Constant of Proportionality × Number of Items.

Front

If 2 seashells cost $0.80, what is the cost per seashell?

Back

Cost per seashell = Total Cost / Number of Seashells = $0.80 / 2 = $0.40.

Front

What does it mean if two quantities are directly proportional?

Back

If two quantities are directly proportional, as one quantity increases, the other quantity increases at a constant rate.

Front

What is the constant of proportionality for the relationship y = 3x?

Back

The constant of proportionality is 3.

Front

If a graph shows a straight line through the origin, what does that indicate?

Back

It indicates a proportional relationship between the two variables.

Front

What is the cost of renting DVDs at Store A if the constant of proportionality is $3.15?

Back

The cost to rent x DVDs is given by the formula: Cost = 3.15 × x.