Rates, Ratios, and Unit Rates

This video tutorial explains how to solve rate and ratio problems using two methods: scale factor and unit rate. It covers the concept of equivalent ratios and demonstrates how to apply these methods to real-world problems, such as determining the number of pizzas needed for a group or the cost of DVDs. The video also highlights the importance of finding a unit rate when direct scaling is not feasible.

What is the primary use of rates and ratios in problem-solving?

• To create complex mathematical models

• To solve prediction and comparison problems

• To measure physical quantities

• To calculate probabilities

What is a scale factor in the context of rate and ratio tables?

• A number used to find the average

• A number used to subtract values

• A number used to multiply or divide values to create equivalent ratios

• A number used to add values

In the pizza example, what is the scale factor used to find the number of pizzas needed for 27 guests?

• 5

• 4

• 3

• 2

How many DVDs can be bought for $80 if 5 DVDs cost $40?

• 10

• 15

• 20

• 5

How many cups of pecans are needed to serve 8 people if 6 cups serve 24 people?

• 4

• 2

• 3

• 1

What is a unit rate?

• The rate for multiple items

• The rate for a dozen items

• The rate for one item

• The rate for two items

If 5 CDs cost $50, what is the cost of one CD?

• $5

• $10

• $20

• $15

How far can an ostrich run in 17 minutes if it runs 70 miles in 35 minutes?

• 51 miles

• 68 miles

• 34 miles

• 17 miles

What are the two methods discussed for solving rate and ratio tables?

• Addition and subtraction

• Multiplication and division

• Scale factors and unit rates

• Graphs and charts