Temperature Changes and Rates of Change

This video tutorial covers various mathematical problems for seventh-grade students. It begins with matching real-world situations to equations, followed by solving temperature change problems using equations. The tutorial then explores calculating ingredient quantities for a trail mix recipe, finding values of mathematical expressions, labeling a number line, and solving a problem related to milk consumption. Each section provides step-by-step explanations to enhance understanding of mathematical concepts.

A whale is diving at a rate of 2 meters per second. How long will it take to reach an elevation of -12 meters?

• 10 seconds

• 6 seconds

• 12 seconds

• 8 seconds

If a swimmer is 12 meters below the surface after 2 minutes, what is her diving rate?

• 5 meters per minute

• 8 meters per minute

• 4 meters per minute

• 6 meters per minute

How many hours does it take for the temperature to drop by 4.4 degrees Celsius at a rate of 0.8 degrees per hour?

• 5 hours

• 6 hours

• 4.5 hours

• 5.5 hours

If the temperature after a 4.4 degree drop is -2.5 degrees Celsius, what was the initial temperature?

• 2.5 degrees Celsius

• 3 degrees Celsius

• 1.9 degrees Celsius

• 0 degrees Celsius

How much of each ingredient is needed to make 10 cups of trail mix if the original recipe makes 2.25 cups?

• Multiply each ingredient by 4.4

• Multiply each ingredient by 4

• Multiply each ingredient by 5

• Multiply each ingredient by 3.5

What is the result of 12 plus negative 10?

• 22

• 2

• 0

• -2

Calculate negative 5 minus 6.

• -10

• -9

• -1

• -11

What is the value of 35 minus negative 8?

• 28

• 35

• 43

• 27

How many days does it take Kieran to finish a 32-ounce container of milk if he drinks 6.4 ounces each morning?

• 5 days

• 4 days

• 6 days

• 7 days

What does the variable 'd' represent in the equation 6.4d = 32?

• The rate of milk consumption

• The amount of milk in ounces

• The total milk consumed

• The number of days to finish the milk