Ratios and proportional relationships

Front

What is a ratio?

Back

A ratio is a comparison of two quantities by division, showing how many times one value contains or is contained within the other.

Front

What does it mean for two quantities to be proportional?

Back

Two quantities are proportional if they maintain a constant ratio or relationship to each other.

Front

How do you determine if a graph represents a proportional relationship?

Back

A graph represents a proportional relationship if it passes through the origin (0,0) and forms a straight line.

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.

Front

If a skirt is marked down by 3/4 of its original price, what fraction of the original price does Daisy pay?

Back

Daisy pays 1/4 of the original price.

Front

In a box of 48 oranges, if 1 in every 6 oranges is rotten, how do you calculate the number of rotten oranges?

Back

To find the number of rotten oranges, divide the total number of oranges (48) by the ratio of good to rotten oranges (6), resulting in 8 rotten oranges.

Front

How do you calculate the price per item when given the total cost and quantity?

Back

To find the price per item, divide the total cost by the number of items purchased.

Front

What is an example of a non-proportional relationship?

Back

An example of a non-proportional relationship is when the ratio between two quantities changes, such as when a graph does not pass through the origin.

Front

What is the formula for finding the constant of proportionality from a table of values?

Back

The constant of proportionality can be found by dividing the value of one quantity by the corresponding value of the other quantity.

Front

How can you identify proportional relationships in word problems?

Back

Look for phrases that indicate constant ratios, such as 'for every', 'per', or 'out of', and check if the relationship remains consistent.