6.5A Graphing Ratios

Front

What is a ratio?

Back

A ratio is a comparison of two quantities that shows the relative size of one quantity to another, often expressed as 'a to b' or a:b.

Front

How do you graph ordered pairs?

Back

To graph ordered pairs, plot the first number on the x-axis (horizontal) and the second number on the y-axis (vertical).

Front

What does it mean for a ratio to be in lowest terms?

Back

A ratio is in lowest terms when the numbers cannot be simplified any further, meaning they have no common factors other than 1.

Front

If a car wash can wash 4 cars in 1 hour, how many cars can it wash in 3 hours?

Back

12 cars (4 cars/hour * 3 hours = 12 cars).

Front

What is the ratio of hours to miles if a family travels 675 miles in 9 hours?

Back

1:75 (675 miles ÷ 9 hours = 75 miles/hour).

Front

How do you determine the rate from a graph?

Back

To determine the rate from a graph, identify the change in the y-axis value divided by the change in the x-axis value.

Front

What is the relationship between the number of boys and girls if there are 2 boys for every 1 girl?

Back

The ratio of boys to girls is 2:1.

Front

What does a line graph represent in terms of ratios?

Back

A line graph can represent the relationship between two quantities, showing how one quantity changes in relation to another.

Front

If 6 boys are represented for every 1 girl in a graph, what is the ratio?

Back

The ratio is 6:1.

Front

What is the simplest form of the ratio 8:4?

Back

The simplest form is 2:1 (dividing both sides by 4).