Rates and Ratios

Front

What is a unit rate?

Back

A unit rate is a rate where the denominator is 1, expressing how much of one quantity corresponds to one unit of another quantity.

Front

How do you calculate the unit rate from a total cost and quantity?

Back

To find the unit rate, divide the total cost by the quantity. For example, if you spend $40 on 5 pounds of concrete, the unit rate is $40 ÷ 5 = $8 per pound.

Front

Which of the following is NOT a correct way to express a ratio?

Back

X and Y is not a correct way to express a ratio.

Front

If Rashida bought 3 tickets for $75, how much does one ticket cost?

Back

One ticket costs $75 ÷ 3 = $25.

Front

If one ticket costs $25, how much will 5 tickets cost?

Back

5 tickets will cost 5 × $25 = $125.

Front

What is the formula to find the rate of change?

Back

The rate of change can be calculated using the formula: (Change in value) / (Change in time or quantity).

Front

If the cost of 2 tickets is $50, what is the rate of change per ticket?

Back

The rate of change per ticket is $50 ÷ 2 = $25 per ticket.

Front

What is a ratio?

Back

A ratio is a comparison of two quantities, showing how many times one value contains or is contained within the other.

Front

How can you express the ratio of 3 apples to 4 oranges?

Back

The ratio can be expressed as 3:4, 3/4, or '3 to 4'.

Front

What is the difference between a rate and a ratio?

Back

A rate is a specific kind of ratio that compares two quantities with different units, while a ratio compares two quantities with the same unit.