6.4BCD, 6.5A - Ratios and Rates

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 is a rate?

Back

A rate is a specific kind of ratio that compares two different units, such as miles per hour or price per item.

Front

How do you calculate speed?

Back

Speed is calculated by dividing the distance traveled by the time taken. Formula: Speed = Distance / Time.

Front

If a car travels 150 miles in 3 hours, what is its speed?

Back

50 miles per hour.

Front

What does a slope represent in a graph?

Back

The slope represents the rate of change of the y-value with respect to the x-value, indicating how steep the line is.

Front

How do you find the slope of a line given two points (x1, y1) and (x2, y2)?

Back

Slope (m) = (y2 - y1) / (x2 - x1).

Front

What is the ratio of cats to dogs if there are 3 cats for every 4 dogs?

Back

The ratio is 3:4.

Front

If there are 20 dogs in a shelter with a cat-to-dog ratio of 3:4, how many cats are there?

Back

15 cats.

Front

What is the formula for calculating a ratio?

Back

Ratio = Quantity A : Quantity B.

Front

Which of the following is an example of a rate? 5 apples to 3 oranges, 60 miles per hour, 2 pencils for 1 eraser, 4 red marbles to 5 blue marbles?

Back

60 miles per hour.