Math 180 Rates and Ratios B2

Front

What is a rate in mathematics?

Back

A rate is a ratio that compares two quantities with different units, often expressed as a quantity per unit of time.

Front

How do you calculate the total amount collected at a constant rate?

Back

To find the total amount collected, multiply the rate by the total time. For example, if Mia collects 5 bags in 2 hours, in 12 hours she collects (5 bags/2 hours) * 12 hours = 30 bags.

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 determine if two ratios are equivalent?

Back

Two ratios are equivalent if they simplify to the same fraction or if their cross products are equal.

Front

What is the equivalent ratio of 2:7 when both terms are multiplied by 2?

Back

The equivalent ratio is 4:14.

Front

If a facility processes 60 pounds of trash in 15 minutes, how many pounds does it process in 1 hour?

Back

It processes 240 pounds in 1 hour (60 pounds/15 minutes * 60 minutes).

Front

What is the method to find a missing value in a ratio?

Back

To find a missing value in a ratio, set up a proportion and cross-multiply to solve for the unknown.

Front

How do you express a ratio in simplest form?

Back

To express a ratio in simplest form, divide both terms by their greatest common divisor (GCD).

Front

What is the relationship between rates and ratios?

Back

Rates are a specific type of ratio that compares quantities with different units, while ratios can compare any two quantities.

Front

If 1 out of every 5 bottles collected is a glass bottle, how do you find the number of glass bottles from a total?

Back

To find the number of glass bottles, divide the total number of bottles by 5. For 500 bottles, there are 500/5 = 100 glass bottles.