Proportional Relationships

Front

What makes a graph proportional?

Back

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

Front

What is the equation of a line that represents a proportional relationship if the unit rate is 5?

Back

y = 5x

Front

How do you find the unit rate from a given quantity?

Back

To find the unit rate, divide the total quantity by the number of units. For example, 405 rotations in 5 minutes gives a unit rate of 81 rotations per minute.

Front

If a sloth moves 30 feet in 5 minutes, how far can it move in 1 minute?

Back

The sloth can move 6 feet in 1 minute.

Front

What does it mean for a table of values to be proportional?

Back

A table of values is proportional if the ratio of the values is constant and it passes through the origin.

Front

What is a unit rate?

Back

A unit rate is a comparison of two different quantities when they are combined together, expressed as a quantity per 1 unit of another quantity.

Front

If a table shows the following pairs: (1, 2), (2, 4), (3, 6), is it proportional?

Back

Yes, it is proportional because the ratio of y to x is constant (2).

Front

What is the formula for finding the slope of a line?

Back

The slope (m) is calculated as m = (change in y) / (change in x).

Front

If a proportional relationship has a slope of 3, what is the equation of the line?

Back

The equation of the line is y = 3x.

Front

What does it mean if a table is not proportional?

Back

A table is not proportional if the ratios of the values are not constant.