Proportional Relationships Flashcard- Math 7A

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

What is the constant of proportionality?

Back

The constant of proportionality is the constant value (k) that relates two proportional quantities in the equation y = kx.

Front

How do you find the unit rate?

Back

To find the unit rate, divide the total quantity by the number of units. For example, if a train travels 90 miles in 1 hour, the unit rate is 90 miles per hour.

Front

If Robert walks 1/4 mile in 4 minutes, how do you find his speed in miles per hour?

Back

To find the speed, convert the distance to miles per hour: (1/4 mile) / (4 minutes) = (1/4) / (1/15) = 15 miles per hour.

Front

What is the formula for finding the total distance traveled at a constant speed?

Back

The formula is Distance = Speed × Time.

Front

How can you determine if two ratios are proportional?

Back

Two ratios are proportional if their cross products are equal. For example, if a/b = c/d, then ad = bc.

Front

What does it mean if a table of values is not proportional?

Back

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

Front

If Dalila earns $108.75 for 15 hours, how do you find her hourly wage?

Back

To find the hourly wage, divide the total earnings by the number of hours: $108.75 / 15 hours = $7.25 per hour.

Front

How do you express a proportional relationship in the form y = kx?

Back

To express a proportional relationship, identify the constant of proportionality (k) and write the equation in the form y = kx, where y is the dependent variable and x is the independent variable.

Front

What is the unit rate of speed if a train travels 90 miles in 1 hour?

Back

The unit rate of speed is 90 miles per hour.