Comparing Drinking Rates and Volumes

The video tutorial explains a race between Diego and Lynn to finish their milkshakes. It analyzes their drinking rates, with Diego drinking faster than Lynn. The tutorial uses mathematical calculations to determine when Diego catches up to Lynn and the volume of milkshake left at that point. It also provides a detailed breakdown of the calculations and graphs used to illustrate the problem.

What is the slowest rate at which Lynn drinks her milkshake?

• 1 ounce every 3 seconds

• 1 ounce every 2 seconds

• 1 ounce every 5 seconds

• 1 ounce every 4 seconds

How much does Diego drink every second?

• One-fourth of an ounce

• One-third of an ounce

• Three-fourths of an ounce

• Two-thirds of an ounce

What is the net gain in ounces per second that Diego moves towards Lynn?

• One-fourth of an ounce

• One-third of an ounce

• Five-twelfths of an ounce

• Two-thirds of an ounce

How many seconds does it take for Diego and Lynn to have the same volume left to drink?

• 20 seconds

• 19 and one-fifth seconds

• 19 seconds

• 18 seconds

What is the volume left for both Diego and Lynn when they have the same amount left to drink?

• Eight and one-fifth ounces

• Seven and one-fifth ounces

• Six and one-fifth ounces

• Nine and one-fifth ounces

What is the initial difference in starting volumes between Diego and Lynn?

• 8 ounces

• 6 ounces

• 9 ounces

• 7 ounces

How many ounces do Diego and Lynn move closer together every second?

• One-fourth of an ounce

• One-third of an ounce

• Five-twelfths of an ounce

• Two-thirds of an ounce

What is the algebraic expression for the difference in their drinking rates?

• One-third minus one-fourth

• Two-thirds minus one-fourth

• One-half minus one-third

• Three-fourths minus one-fifth

How is the time calculated for when Diego and Lynn have the same volume left?

• By adding their rates

• By subtracting their rates

• By dividing the initial difference by the net gain

• By multiplying their rates

What is the final algebraic solution for the time it takes for both to have the same volume left?

• 21 and one-fifth seconds

• 20 and one-fifth seconds

• 19 and one-fifth seconds

• 18 and one-fifth seconds