Unit 3 Study Material

Front

What is the constant of proportionality?

Back

The constant of proportionality is a constant value (k) that relates two proportional quantities. It can be found by dividing one quantity by the other.

Front

If k = 1.50, what does this indicate about the relationship between the two quantities?

Back

It indicates that the two quantities are proportional, and for every unit increase in one quantity, the other quantity increases by 1.50 times.

Front

What is a ratio?

Back

A ratio is a comparison of two quantities that shows the relative size of one quantity to another.

Front

What is the ratio of 21 carrots to a total of 53 items?

Back

The ratio is 21 to 53.

Front

How do you determine if two ratios are equivalent?

Back

Two ratios are equivalent if they can be simplified to the same fraction or if their cross products are equal.

Front

What does the equation y = 75x represent?

Back

This equation represents a proportional relationship where y increases by 75 for every unit increase in x.

Front

What is the significance of a proportional relationship?

Back

In a proportional relationship, as one quantity increases, the other quantity increases at a constant rate, maintaining a consistent ratio.

Front

What does it mean if a statement says 'All of these ratios are equivalent'?

Back

It means that the ratios can be simplified to the same value, but this statement can be true or false depending on the specific ratios.

Front

What is the constant of proportionality for the graph if the output is 40 when the input is 1?

Back

The constant of proportionality is 40.

Front

How can you find the total number of items if you know the ratio of two items?

Back

You can add the two quantities together to find the total.