Constant of Proportionality

Front

What is the constant of proportionality?

Back

The constant of proportionality is the constant value (k) that relates two proportional quantities, often represented in the equation y = kx.

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How do you find the constant of proportionality in an equation?

Back

To find the constant of proportionality, identify the coefficient of x in the equation y = kx.

Front

What is a unit rate?

Back

A unit rate is a ratio that compares a quantity to one unit of another quantity, often expressed as 'per' something (e.g., miles per hour, calories per serving).

Front

How do you calculate a unit rate from a total quantity?

Back

To calculate a unit rate, divide the total quantity by the number of units. For example, if there are 624 calories in 3 servings, the unit rate is 624 ÷ 3 = 208 calories per serving.

Front

What is the equation that represents a proportional relationship?

Back

The equation that represents a proportional relationship is y = kx, where k is the constant of proportionality.

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If y = 4x, what is the constant of proportionality?

Back

The constant of proportionality is 4.

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In the equation y = ½x, what is the constant of proportionality?

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The constant of proportionality is 1/2.

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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 or decreases, the other does so in a consistent manner.

Front

How can you express a relationship between weight and cost in an equation?

Back

You can express the relationship as y = kx, where y is the cost, x is the weight, and k is the cost per unit weight.

Front

What is the significance of the unit rate in real-life applications?

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The unit rate helps in comparing different quantities and making informed decisions, such as determining the best value for money.