Understanding Temperature and Depth Changes

The video tutorial covers the representation of contexts using equations, focusing on determining whether solutions are positive or negative. It explores temperature and altitude changes, providing examples and exercises to create and solve equations. The tutorial also includes practical applications, such as calculating the time for a candle to burn out and determining student attendance based on absences.

What is the result when a negative number is multiplied by a positive number?

• Positive

• Negative

• Zero

• Undefined

If the temperature at 6 AM is represented by V and it rises by 12 degrees to reach 4 degrees, what is the equation?

• V + 4 = 12

• V - 12 = 4

• V + 12 = 4

• V - 4 = 12

How do you represent a temperature drop of 3 degrees per hour starting from zero degrees at midnight?

• T = -3h

• T = 3h

• T = 3 + h

• T = -3 + h

A penguin dives from 3 feet above sea level to 10 feet below. What is its final depth?

• 13 feet below

• 3 feet below

• 7 feet below

• 10 feet below

If a dolphin starts 3 feet below sea level and jumps 10 feet up, where does it end up?

• 10 feet above sea level

• 3 feet above sea level

• 7 feet below sea level

• 7 feet above sea level

An eagle starts at 10 feet above sea level and ends at 3 feet above after diving. What is the change in altitude?

• 7 feet

• 13 feet

• 10 feet

• 3 feet

If a pelican dives from 10 feet above to 3 feet below sea level, what is the total change in altitude?

• 3 feet

• 10 feet

• 7 feet

• 13 feet

A shark swims from 10 feet below sea level to 3 feet below. What is the change in depth?

• 13 feet

• 3 feet

• 7 feet

• 10 feet

How long does it take for a 7 1/4 inch candle to burn completely if it decreases by 3/4 inch per hour?

• 9 hours

• 9 2/3 hours

• 10 hours

• 9 1/2 hours

What equation represents the total number of students if 1/9 were absent and 4,512 were present?

• S - 1/9S = 4512

• S + 1/9S = 4512

• S - 4512 = 1/9S

• S + 4512 = 1/9S