Direct Variation & Review

Front

What is direct variation?

Back

Direct variation is a relationship between two variables where one variable is a constant multiple of the other. It can be expressed as y = kx, where k is a non-zero constant.

Front

What is the unit rate?

Back

The unit rate is a comparison of two different quantities when they are combined together. It is often expressed as a quantity per one unit of another quantity.

Tags

CCSS.6.RP.A.1

CCSS.6.RP.A.2

Front

If 20 inches of snow falls in 5 hours, what is the unit rate of inches per hour?

Back

4 inches per hour.

Tags

CCSS.6.RP.A.1

CCSS.6.RP.A.2

Front

How do you determine if a table represents direct variation?

Back

A table represents direct variation if the ratio of the two variables is constant.

Front

If a relationship is represented by the equation y = 3x, does it represent direct variation?

Back

Yes, it represents direct variation.

Front

What is the cost of 10 pounds of hamburger if 3 pounds cost $6?

Back

$20.

Tags

CCSS.HSF-LE.A.1B

Front

What is the formula for direct variation?

Back

The formula for direct variation is y = kx, where k is the constant of variation.

Front

If y varies directly with x and k = 2, what is y when x = 5?

Back

y = 10.

Front

What does it mean if two quantities vary directly?

Back

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

Tags

CCSS.HSF-LE.A.1B

Front

Is the relationship between distance and time at a constant speed a direct variation?

Back

Yes, it is a direct variation.