Unit 4: 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 in a proportional relationship?

Back

To find the unit rate, divide the total amount by the number of units. For example, if 10 items cost $50, the unit rate is $50 ÷ 10 = $5 per item.

Front

What is the equation of a proportional relationship?

Back

The equation of a proportional relationship can be expressed as y = kx, where k is the constant of proportionality.

Front

If a car travels 60 miles in 1 hour, how far will it travel in 3 hours?

Back

180 miles (60 miles/hour * 3 hours = 180 miles).

Front

What does the constant of proportionality represent?

Back

The constant of proportionality represents the ratio between two proportional quantities, indicating how much one quantity changes in relation to the other.

Front

How can you determine if a relationship is proportional from a graph?

Back

A relationship is proportional if the graph is a straight line that passes through the origin (0,0).

Front

What is the unit rate of 300 calories burned in 5 hours?

Back

60 calories per hour (300 calories ÷ 5 hours = 60 calories/hour).

Front

If the cost of 4 apples is $2, what is the cost of 10 apples?

Back

$5 (The unit cost is $0.50 per apple, so 10 apples cost 10 * $0.50 = $5).

Front

What is the slope of a line in a proportional relationship?

Back

The slope of a line in a proportional relationship is equal to the constant of proportionality (k) and represents the rate of change.

Front

If y = 0.25x, what is the value of y when x = 20?

Back

5 (y = 0.25 * 20 = 5).