Constant of Proportionality Review

Front

What is the constant of proportionality?

Back

The constant of proportionality is the ratio between two proportional quantities, often represented as 'k' 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 there are 624 calories in 3 servings, the unit rate is 624 ÷ 3 = 208 calories per serving.

Front

What does a proportional graph look like?

Back

A proportional graph is a straight line that passes through the origin (0,0). The slope of the line represents the constant of proportionality.

Front

In the equation y = kx, what does 'k' represent?

Back

'k' represents the constant of proportionality, which is the ratio of y to x.

Front

If the constant of proportionality is 9, what is the relationship between x and y in the equation y = 9x?

Back

For every unit increase in x, y increases by 9 units.

Front

What is the unit rate of 80 miles in 4 hours?

Back

The unit rate is 80 ÷ 4 = 20 miles per hour.

Front

How can you determine if a table of values is proportional?

Back

A table of values is proportional if the ratios of corresponding y-values to x-values are constant.

Front

What is the constant of proportionality for the equation y = 14x?

Back

The constant of proportionality is 14.

Front

If a graph shows a straight line through the origin, what can you conclude?

Back

You can conclude that the relationship represented by the graph is proportional.

Front

What is the constant of proportionality for the table: (1, 9), (2, 18), (3, 27)?

Back

The constant of proportionality is 9, as each y-value is 9 times the corresponding x-value.