Ratios and Rates in Real-World Problems

This video tutorial covers lesson 7.1 on ratios, rates, tables, and graphs from the sixth-grade Go Math textbook. It begins with an introduction to the concepts of ratios and rates, followed by an exploration of finding ratios using tables with a distilled water and ammonia example. The lesson progresses to graphing these ratios and understanding the relationship between coordinates. The video also includes examples to illustrate rates, such as train speed, and concludes with guided practice on applying these concepts to real-world scenarios.

If you have 4 milliliters of ammonia, how much distilled water is needed?

• 250 milliliters

• 100 milliliters

• 150 milliliters

• 200 milliliters

What is the simplified ratio of 100 milliliters of distilled water to 2 milliliters of ammonia?

• 25 to 1

• 200 to 4

• 100 to 2

• 50 to 1

How do you describe the graph of distilled water to ammonia ratios?

• A curved line

• A straight line

• A zigzag line

• A dotted line

What is the y-coordinate for 2.5 milliliters of ammonia on the graph?

• 175

• 125

• 150

• 100

How long does it take for a train to travel 90 miles if it travels at a constant speed of 60 miles per hour?

• 2.5 hours

• 1.5 hours

• 1 hour

• 2 hours

If a shower uses 12 gallons of water in 3 minutes, what is the rate of water usage per minute?

• 5 gallons

• 4 gallons

• 3 gallons

• 2 gallons

For every 1 sulfur atom, how many oxygen atoms are needed in sulfur dioxide?

• 4

• 3

• 2

• 1

What is the equivalent ratio of 8 inches in length to 4 inches in width for stickers?

• 8 to 4

• 2 to 1

• 4 to 8

• 1 to 2

How many boxes are needed for 84 candles if each box holds 12 candles?

• 7

• 6

• 8

• 5

What is the first step in visually representing real-world problems involving ratios?

• Make a table of equivalent ratios

• Draw a graph

• Calculate the average

• Write a story