Day 41 - Flashcard: 6.12bc Unit Rates & Proportional Relationships

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

What does it mean for two quantities to be in proportion?

Back

Two quantities are in proportion if they have a constant ratio, meaning that as one quantity changes, the other changes at the same rate.

Front

How do you find a missing value in a ratio table?

Back

To find a missing value in a ratio table, you can set up a proportion using the known values and solve for the unknown.

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

If a table shows a 1:2 ratio, what does that mean?

Back

A 1:2 ratio means that for every 1 unit of the first quantity, there are 2 units of the second quantity.

Front

How do you calculate the unit rate from a total?

Back

To calculate the unit rate, divide the total quantity by the number of units. For example, if you have 408 words in 4 minutes, divide 408 by 4 to get 102 words per minute.

Front

What is the value of B if the ratio table shows A=28 and the ratio is 1:2?

Back

If A=28 and the ratio is 1:2, then B would be 56.

Front

What does it mean if a table does not form a proportional relationship?

Back

If a table does not form a proportional relationship, it means that the ratios of the quantities are not constant.

Front

How can you check if two ratios are equivalent?

Back

To check if two ratios are equivalent, cross-multiply and see if the products are equal.

Front

What is the first step to solve a problem involving unit rates?

Back

The first step is to identify the total quantity and the time or unit over which it is measured.