Ma7 Unit rate

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 'per' something (e.g., miles per hour, dollars per item).

Front

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

Back

To calculate the unit rate, divide the total cost by the quantity. For example, if 5 items cost $40, the unit rate is $40 ÷ 5 = $8 per item.

Front

What is the unit rate of 20 tickets sold for $250?

Back

The unit rate for one adult ticket is $250 ÷ 20 = $12.50 per ticket.

Front

If Elijah earns $200 for 8 hours of work, what is his hourly wage?

Back

Elijah's hourly wage is calculated by dividing his total earnings by the number of hours worked: $200 ÷ 8 = $25 per hour.

Front

How do you find the unit rate in cookies per dollar if 36 cookies cost $4?

Back

To find the unit rate in cookies per dollar, divide the number of cookies by the cost: 36 cookies ÷ $4 = 9 cookies per dollar.

Front

What is the unit rate in dollars per pound if you spend $40 on 5 pounds of concrete?

Back

The unit rate in dollars per pound is calculated by dividing the total cost by the weight: $40 ÷ 5 pounds = $8 per pound.

Front

What does the constant of proportionality represent in the equation y = kx?

Back

The constant of proportionality (k) represents the ratio of y to x, indicating how much y changes for a unit change in x.

Front

In the equation y = 14x, what is the value of the constant of proportionality?

Back

In the equation y = 14x, the constant of proportionality is 14.

Front

How can you express a unit rate as a fraction?

Back

A unit rate can be expressed as a fraction where the numerator is the quantity and the denominator is the unit (e.g., 9 cookies/1 dollar).

Front

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

Back

Unit rates help compare prices, speeds, and other quantities, making it easier to make informed decisions in everyday situations.