Exploring Negative Rates and Dividing Integers

This video tutorial covers negative rates and rational numbers, focusing on solving problems involving these concepts. It uses examples of scuba divers descending to illustrate proportional relationships and equations. The lesson emphasizes understanding velocity and direction using signed numbers, applicable to both vertical and horizontal movements.

What are the goals of today's lesson?

• To understand positive rates and adding rational numbers

• To solve problems involving negative rates and multiplying and dividing rational numbers

• To learn about positive rates and subtracting rational numbers

• To explore the concept of proportionality in positive rates

If a scuba diver descends 100 feet in two minutes, what is the equation to represent the diver's depth over time?

• y = -100x

• y = -50x

• y = 50x

• y = 100x

What is the constant of proportionality for a scuba diver descending 100 feet in two minutes?

• 100

• -50

• 50

• -100

How do you calculate the constant of proportionality in the given problem?

• Divide 100 by 2

• Multiply 100 by 2

• Multiply -100 by 2

• Divide -100 by 2

What is the equation representing the descent of the second scuba diver?

• y = -50x

• y = -66x

• y = -100x

• y = -200x

If the second scuba diver descends 200 feet, how long does it take?

• 4.03 minutes

• 3.03 minutes

• 5.03 minutes

• 2.03 minutes

What is the result of dividing -200 by -66?

• 2.03

• 3.03

• 4.03

• 5.03

What does a negative divided by a negative result in?

• A negative

• A positive

• Zero

• Undefined

How can speed with direction (velocity) be represented?

• Using fractions

• Using signed numbers

• Using only negative numbers

• Using only positive numbers

In which direction is movement typically considered positive?

• Right

• Down

• Up

• Left