Finding Constant

Front

What is the constant of proportionality?

Back

The constant of proportionality is the ratio between two directly proportional quantities, often represented as 'k' in the equation y = kx.

Front

When we compare quantities, we compare them as _____ over ______.

Back

y over x.

Front

If Justin ordered 5 ice cream bars for $12.25, how much was each ice cream bar?

Back

Each ice cream bar costs $2.45.

Front

What is the constant of proportionality (in miles per hour) based on the table?

Back

The constant of proportionality is 45 mph.

Front

What makes a graph proportional?

Back

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

Front

Define 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 formula for finding the constant of proportionality?

Back

The formula is k = y/x, where k is the constant of proportionality.

Front

If a car travels 90 miles in 2 hours, what is its speed in mph?

Back

The speed is 45 mph.

Front

What does it mean if two quantities are directly proportional?

Back

It means that as one quantity increases, the other quantity increases at a constant rate.

Front

How do you determine if a table of values represents a proportional relationship?

Back

Check if the ratios of corresponding values are constant.