Proportions

Front

What is a proportional relationship?

Back

A proportional relationship is a relationship between two quantities where the ratio of one quantity to the other is constant.

Tags

CCSS.7.RP.A.2A

Front

How can you determine if two ratios form a proportion?

Back

Two ratios form a proportion if their cross products are equal.

Tags

CCSS.7.RP.A.2A

Front

What is the constant of proportionality?

Back

The constant of proportionality is the constant value (k) that relates two proportional quantities, expressed as y = kx.

Tags

CCSS.7.RP.A.2B

Front

If x/y = k, what does k represent in a proportional relationship?

Back

k represents the constant of proportionality between x and y.

Tags

CCSS.7.RP.A.2B

Front

How do you calculate the constant of proportionality from a word problem?

Back

To calculate the constant of proportionality, divide one quantity by the corresponding quantity in a proportional relationship.

Tags

CCSS.7.RP.A.2B

Front

What is the formula for direct variation?

Back

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

Front

If a car travels 280 miles in 7 hours, what is its speed in miles per hour?

Back

The speed is 40 miles per hour (280 miles / 7 hours).

Tags

CCSS.6.RP.A.1

CCSS.6.RP.A.2

Front

How do you solve for an unknown in a direct variation problem?

Back

Set up the equation y = kx and solve for the unknown by substituting known values.

Tags

CCSS.HSF-LE.A.1B

Front

What is the relationship between distance and time in direct variation?

Back

In direct variation, distance varies directly with time, meaning if time increases, distance increases proportionally.

Front

If hamburger sells for 3 pounds for $6, what is the price per pound?

Back

The price per pound is $2 ($6 / 3 pounds).

Tags

CCSS.6.RP.A.1

CCSS.6.RP.A.2