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 is constant.

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

What does the constant of proportionality represent?

Back

The constant of proportionality (k) represents the unit rate or the factor by which one quantity changes in relation to another.

Front

If y = 5x, what is the value of y when x = 3?

Back

y = 5 * 3 = 15.

Front

How do you find the unit rate from a ratio?

Back

To find the unit rate, divide both quantities in the ratio by the quantity in the denominator.

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 fraction with a denominator of one.

Front

If a car travels 280 miles in 7 hours, what is the unit rate of speed?

Back

The unit rate of speed is 280 miles / 7 hours = 40 miles per hour.

Front

How do you determine if two ratios are proportional?

Back

Two ratios are proportional if their cross products are equal.

Front

What is the scale factor in a proportional relationship?

Back

The scale factor is the constant ratio between corresponding lengths in two similar geometric figures.

Front

If a map scale reads 1 inch: 114 miles, how many miles does 5.5 inches represent?

Back

5.5 inches represents 5.5 * 114 = 627 miles.