Topic 2 Test Math 2): Proportional Relationships

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 unit rate?

Back

To find the unit rate, divide the total amount by the number of units. For example, if a box of cereal costs $3.59 for 30 oz, the unit rate is $3.59 ÷ 30 oz = $0.1197 per oz, rounded to 12 cents.

Front

What does the slope of a line represent in a proportional relationship?

Back

The slope of a line in a proportional relationship represents the unit rate or the constant of proportionality.

Front

If 6 people pay $39, what is the cost per person?

Back

To find the cost per person, divide the total cost by the number of people: $39 ÷ 6 = $6.50 per person.

Front

Write the equation for a proportional relationship where y is the total cost and x is the number of items, if the cost per item is $18.50.

Back

The equation is y = 18.50x.

Front

What is the constant of proportionality?

Back

The constant of proportionality is the constant ratio between two proportional quantities, often represented as k in the equation y = kx.

Front

How do you determine if two ratios are proportional?

Back

Two ratios are proportional if they can be simplified to the same fraction or if their cross products are equal.

Front

If a graph shows that $500 is earned for every 8 hours worked, what is the unit rate?

Back

The unit rate is $500 ÷ 8 hours = $62.50 per hour.

Front

What is a ratio?

Back

A ratio is a comparison of two quantities by division, often expressed as a fraction.

Front

If the cost for 6 people is $39, how much will it cost for 9 people?

Back

Using a proportion: 6/39 = 9/x. Cross-multiply to find x: x = (9 * 39) / 6 = $58.50.