Understanding Unit Rate

The video tutorial introduces the concept of unit rate, using the example of calculating the cost of one orange when eight oranges cost $2.40. It explains how to set up a proportion and solve it using cross multiplication. The tutorial also outlines the rules for finding a unit rate and reworks the problem in detail to ensure understanding.

What is the first step in finding the unit rate of an item?

• Set up a proportion with the unit being 1

• Divide the total cost by the number of items

• Multiply the total cost by the number of items

• Add the cost of all items together

How do you solve a proportion to find the unit rate?

• Add the numbers in the proportion

• Divide the larger number by the smaller

• Subtract the smaller number from the larger

• Use cross multiplication

What is the purpose of setting the proportion equal to 1 unit?

• To determine the cost of one item

• To calculate the average cost

• To compare two different items

• To find the total cost of all items

In the example, what is the variable used to represent the unknown cost of one orange?

• y

• a

• x

• z

Why is it important to have the variable by itself in the equation?

• To make the equation longer

• To make the equation more complex

• To simplify the calculation

• To ensure the variable is on the left side

What mathematical operation is used to isolate the variable in the proportion?

• Division

• Addition

• Subtraction

• Multiplication

What is the cross product of 8 and x in the example?

• 16x

• 8x

• x8

• 8

What is the result of dividing 240 by 8 in the example problem?

• 30.00

• 0.03

• 3.00

• 0.30

What does the unit rate represent in the context of this problem?

• The average cost of two oranges

• The cost of one orange

• The cost of eight oranges

• The total cost of all oranges

What is the final interpretation of the unit cost in the example?

• 30 dollars per orange

• 30 cents per orange

• 3 dollars per orange

• 0.30 dollars per orange