Math 8 Unit 3: Finding and Applying Unit Rates

Front

What is a unit rate?

Back

A unit rate is a comparison of two different quantities when they are combined together. It is expressed as a quantity per one unit of another quantity.

Front

How do you find a unit rate from a given total?

Back

To find a unit rate, divide the total quantity by the number of units. For example, if you earn $96 for mowing 8 lawns, the unit rate is $96 ÷ 8 = $12 per lawn.

Front

What does it mean if a graph does not go through the origin?

Back

If a graph does not go through the origin, it indicates a non-proportional relationship, meaning that the ratio of the two quantities is not constant.

Front

How can you determine if a relationship is proportional using a graph?

Back

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

Front

If water flows at a rate of 5 gallons every 25 seconds, how do you find the flow rate in gallons per second?

Back

To find the flow rate in gallons per second, divide the total gallons by the total seconds: 5 gallons ÷ 25 seconds = 0.2 gallons per second.

Front

What is the formula to calculate the distance traveled at a constant speed?

Back

The formula is Distance = Speed × Time.

Front

If Antonia types 408 words in 4 minutes, how do you find her typing speed in words per minute?

Back

To find the typing speed, divide the total words by the total minutes: 408 words ÷ 4 minutes = 102 words per minute.

Front

How do you convert a rate to a unit rate?

Back

To convert a rate to a unit rate, divide both quantities by the same number to express the first quantity in terms of one unit of the second quantity.

Front

What is the significance of finding unit rates in real-life situations?

Back

Finding unit rates helps compare different rates and make informed decisions, such as determining the best value for money.

Front

If a car travels 160 miles in 4 hours, what is its speed in miles per hour?

Back

To find the speed, divide the distance by the time: 160 miles ÷ 4 hours = 40 miles per hour.