Ratios/Graphs

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:b'.

Front

How do you simplify a ratio?

Back

To simplify a ratio, divide both terms by their greatest common divisor (GCD).

Front

What is a unit rate?

Back

A unit rate is a ratio that compares a quantity to one unit of another quantity, often expressed as 'x per 1 unit'.

Front

How do you find the unit rate from a graph?

Back

To find the unit rate from a graph, determine the slope of the line, which represents the change in the dependent variable per unit change in the independent variable.

Front

What does the slope of a graph represent?

Back

The slope of a graph represents the rate of change between the two variables plotted on the axes.

Front

If a family travels 75 miles in 1 hour, how far will they travel in 12 hours?

Back

900 miles.

Front

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

Back

1:75.

Front

How do you calculate total distance traveled given a rate and time?

Back

Total distance = rate × time.

Front

What is the relationship between hours and money in a graph?

Back

The relationship can be represented as a linear function where money is dependent on the number of hours.

Front

If 6 hours of electricity costs $60, what is the cost per hour?

Back

$10 per hour.