Constant of Proportionality, y=kx

Front

What is the constant of proportionality in the equation y = kx?

Back

The constant of proportionality (k) is the ratio of y to x, representing how much y changes for a unit change in x.

Front

If y = 5x, what is the constant of proportionality?

Back

k = 5

Front

How do you find the unit rate from a proportional relationship?

Back

The unit rate is found by dividing the total amount by the number of units, giving the value of one unit.

Front

If 3 ice cream bars cost $6.00, what is the cost of one ice cream bar?

Back

$2.00

Front

What does it mean if a relationship is proportional?

Back

A relationship is proportional if it can be represented by a straight line through the origin on a graph, and the ratio of y to x is constant.

Front

In the equation y = 18.50x, what does 18.50 represent?

Back

18.50 is the constant of proportionality, indicating the cost per unit.

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).

Front

What is the formula to calculate the constant of proportionality?

Back

k = y/x, where y is the dependent variable and x is the independent variable.

Front

If a recipe requires 2 cups of flour for every 3 cups of sugar, what is the constant of proportionality for flour to sugar?

Back

k = 2/3.

Front

How can you determine if two quantities are proportional from a table of values?

Back

If the ratios of corresponding values are equal, the quantities are proportional.