Finding Constant of Proportionality From a Graph

Front

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

Back

14

Front

How do you find the unit rate from a total cost and quantity?

Back

Divide the total cost by the quantity. For example, $3.59 for 30 oz gives a unit rate of $3.59 / 30 = 0.1197, which rounds to 12 cents per ounce.

Front

What does the constant of proportionality represent in a proportional relationship?

Back

It represents the ratio between two quantities that are directly proportional to each other.

Front

If y = kx, what does k represent?

Back

k is the constant of proportionality.

Front

How do you determine if a relationship is proportional from a graph?

Back

A relationship is proportional if the graph is a straight line that passes through the origin.

Front

What is the unit rate if a box of cereal costs $3.59 for 30 oz?

Back

12 cents per ounce.

Front

In the equation y = kx, if k = 5, what is the value of y when x = 10?

Back

y = 5 * 10 = 50.

Front

What is the constant of proportionality if k = 0.2?

Back

The constant of proportionality is 0.2.

Front

If the constant of proportionality is k = 2/5, what is the value of y when x = 10?

Back

y = (2/5) * 10 = 4.

Front

What is the constant of proportionality in the equation y = 46x?

Back

46