Constant of Proportionality Review

Front

What is the constant of proportionality?

Back

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

Tags

CCSS.7.RP.A.2B

Front

How do you find the price per gallon of gas if the total cost and gallons are known?

Back

Divide the total cost by the number of gallons. For example, if it costs $46.80 for 13 gallons, the price per gallon is $46.80 ÷ 13 = $3.60.

Tags

CCSS.6.RP.A.1

CCSS.6.RP.A.2

Front

If a car travels 195 miles in 3 hours, how do you find the speed?

Back

Divide the distance by the time. Speed = Distance ÷ Time. Here, Speed = 195 miles ÷ 3 hours = 65 miles per hour.

Tags

CCSS.6.RP.A.1

CCSS.6.RP.A.2

Front

What is the formula for a proportional relationship?

Back

The formula for a proportional relationship is y = kx, where 'k' is the constant of proportionality.

Tags

CCSS.7.RP.A.2C

Front

How do you determine which item has the lowest cost per unit?

Back

Calculate the cost per unit for each item by dividing the total cost by the number of units, then compare the results.

Tags

CCSS.6.RP.A.3B

Front

What does it mean if two quantities are proportional?

Back

Two quantities are proportional if they maintain a constant ratio to each other, meaning as one quantity increases, the other increases at a consistent rate.

Tags

CCSS.7.RP.A.2A

Front

What is the equation for a proportional relationship if the constant of proportionality is 3?

Back

The equation would be y = 3x.

Tags

CCSS.7.RP.A.2C

Front

How can you express a proportional relationship using a table?

Back

A proportional relationship can be expressed in a table by listing pairs of values that maintain a constant ratio.

Tags

CCSS.7.RP.A.2C

Front

What is the cost per pound of a 20-lb bag of dog food that costs $23.44?

Back

Cost per pound = Total cost ÷ Weight. Here, $23.44 ÷ 20 lbs = $1.17 per pound.

Tags

CCSS.6.RP.A.1

CCSS.6.RP.A.2

Front

If y = 18.50x, what does '18.50' represent?

Back

In the equation y = 18.50x, '18.50' is the constant of proportionality, indicating the cost per unit.

Tags

CCSS.7.RP.A.2B