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 rate.

Front

How do you determine which option is a better buy when comparing prices?

Back

Calculate the unit price for each option by dividing the total price by the number of items, then compare the unit prices.

Front

What is a scale factor?

Back

A scale factor is a number that scales, or multiplies, a quantity. It is used to enlarge or reduce figures.

Front

If the scale factor is less than one, what happens to the figure?

Back

The figure will be reduced in size.

Front

What is the formula for finding the actual distance using a scale?

Back

Actual distance = Length on drawing × Scale factor.

Front

What does a proportional graph look like?

Back

A proportional graph is a straight line that passes through the origin (0,0).

Front

What is the equation of a line in slope-intercept form?

Back

The equation is y = mx + b, where m is the slope and b is the y-intercept.

Front

How do you find the unit rate?

Back

Divide the first quantity by the second quantity to find the unit rate.

Front

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

Back

If you buy 3 apples for $1.50, the cost per apple is a constant rate, making it a proportional relationship.