Exploring Ratios and Graphing Techniques

This video tutorial covers lesson 7.1 on ratios, rates, tables, and graphs, aligned with California Common Core standards. It begins with an introduction to the topic, followed by an experiment involving distilled water and pneumonia to illustrate ratio calculations. The lesson progresses to graphing these ratios and using the graphs to make predictions. An additional example featuring Shaggy and Scooby demonstrates constant speed travel using ratios and graphs.

What is the main topic of Lesson 7.1?

• Geometry and Shapes

• Algebraic Expressions

• Fractions and Decimals

• Ratios, Rates, Tables, and Graphs

If 250 milliliters of distilled water is needed for 5 milliliters of pneumonia, what is the ratio of distilled water to pneumonia?

• 1:50

• 50:1

• 250:5

• 5:250

How much distilled water is used for one milliliter of pneumonia?

• 25 milliliters

• 50 milliliters

• 100 milliliters

• 200 milliliters

What is the equivalent ratio of 100:2?

• 25:1

• 50:1

• 100:1

• 200:1

If you have 3.5 milliliters of pneumonia, how much distilled water do you need?

• 225 milliliters

• 175 milliliters

• 150 milliliters

• 200 milliliters

What is the x-coordinate in the ordered pair (3, 150)?

• 100

• 50

• 150

• 3

What does a straight line on the graph indicate about the ratios?

• They are not equivalent

• They are equivalent

• They are increasing

• They are decreasing

How can you use the graph to find the amount of distilled water needed for 4.5 milliliters of pneumonia?

• Look at the y-axis

• Multiply by 100

• Look at the x-axis

• Find the intersection point on the graph

What is the unit rate of Shaggy and Scooby's travel if they go 120 miles in 2 hours?

• 30 miles per hour

• 40 miles per hour

• 50 miles per hour

• 60 miles per hour

How far do Shaggy and Scooby travel in 1.5 hours?

• 60 miles

• 150 miles

• 120 miles

• 90 miles