Comparing and Graphing Ratios Effectively

In this video, Jeff Jacobson introduces the concept of comparing and graphing ratios. He uses three examples to illustrate the process: comparing salsa mixtures to determine which is spicier, evaluating dog food prices to find the better buy, and comparing the rise rates of a hot air balloon and a blimp. The video concludes with graphing the results and drawing conclusions about the comparisons.

Which salsa mixture is spicier?

• Bowl 1 with 20 tablespoons of hot sauce

• Bowl 2 with 21 tablespoons of hot sauce

• Both are equally spicy

• Cannot be determined

How do we make the salsa ratios comparable?

• By reducing the amount of salsa

• By adding more salsa

• By adding more hot sauce

• By finding the least common multiple of salsa cups

What is the significance of finding the least common multiple in ratio comparisons?

• It simplifies the ratios

• It allows for direct comparison by standardizing quantities

• It reduces the overall quantity

• It increases the ratio's value

Which dog food bag offers a better price per pound?

• 30 lb bag

• Cannot be determined

• 20 lb bag

• Both offer the same price

How is the better buy determined between two bags of dog food?

• By comparing unit rates

• By comparing weights

• By comparing brands

• By comparing total prices

Which rises faster, the hot air balloon or the blimp?

• Cannot be determined

• Hot air balloon

• Both rise at the same rate

• Blimp

How do we compare the rise rates of the balloon and blimp?

• By the fuel consumption rate

• By the distance covered

• By the speed of ascent

• By measuring the height after a fixed time

What does the steepness of a line on a graph indicate?

• The speed of descent

• The speed of ascent

• The horizontal distance covered

• The fuel efficiency

Why do we graph the rise rates of the balloon and blimp?

• To calculate the total distance covered

• To visually compare their rise speeds

• To find out which can carry more weight

• To determine which uses more fuel

What unit is used to measure the height in the graph?

• Kilometers

• Yards

• Feet

• Meters