12.9 Assets

Front

What is a unit rate?

Back

A unit rate is a comparison of two different quantities when they are combined together. It expresses how many units of one quantity correspond to one unit of another quantity.

Front

How do you calculate the unit rate?

Back

To calculate the unit rate, divide the total quantity of one item by the total quantity of another item. For example, if a store sees 120 customers in 8 hours, the unit rate is 120 ÷ 8 = 15 customers per hour.

Front

What does the equation y = kx represent?

Back

This equation represents a direct variation where y varies directly with x. Here, k is the constant of variation.

Front

If Karen posts 21 times a week, how many times does she post per day?

Back

Karen posts 21 ÷ 7 = 3 times per day.

Front

What is the meaning of 'per hour' in a rate problem?

Back

'Per hour' indicates the number of units (like customers, words, etc.) that occur in one hour.

Front

How do you find the typing rate from a given equation?

Back

To find the typing rate from an equation like y = 39x, substitute x with the number of hours to find out how many words are typed in that time.

Front

What is the significance of a graph in understanding rates?

Back

A graph visually represents data, making it easier to compare rates and understand trends.

Front

If Sasha mows 3/8 of an acre in 3/4 of an hour, how do you find her mowing rate?

Back

To find her mowing rate, divide the area mowed by the time taken: (3/8) ÷ (3/4) = (3/8) * (4/3) = 1/2 acre per hour.

Front

What is a proportional relationship?

Back

A proportional relationship is a relationship between two quantities where their ratio remains constant.

Front

How do you interpret a table of values in a rate problem?

Back

A table of values shows the relationship between two quantities, allowing you to identify patterns and calculate rates.