Week 15~Math Bridges: 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, indicating how much one quantity changes in relation to another.

Front

How do you find the constant of proportionality from a graph?

Back

To find the constant of proportionality from a graph, identify the ratio of the y-value to the x-value at any point on the line. This ratio remains constant for all points on the line.

Front

If a gym employee earns $1,500 per month, what is the constant of proportionality for his earnings?

Back

k = 1500, since he earns $1,500 for each month worked.

Front

What does it mean if a relationship is proportional?

Back

A relationship is proportional if the ratio between two quantities remains constant, meaning that as one quantity increases, the other quantity increases at a consistent rate.

Front

Write the equation representing a proportional relationship where k = 20.

Back

y = 20x, where y is the total amount and x is the number of units.

Front

If a graph shows a straight line passing through the origin, what can be inferred about the relationship?

Back

The relationship is proportional, as it indicates a constant ratio between the two quantities.

Front

What is the formula to calculate total earnings based on a constant pay rate?

Back

Total Earnings = Pay Rate × Number of Months.

Front

If a gym employee has earned $4,500 after 3 months, what is his monthly pay rate?

Back

$1,500 per month, calculated by dividing $4,500 by 3 months.

Front

How can you determine if a relationship is not proportional?

Back

If the ratio between the two quantities changes or if the graph does not pass through the origin, the relationship is not proportional.

Front

What is an example of a proportional relationship in real life?

Back

The cost of buying multiple items at a fixed price per item, such as $5 per gift card.