Submarine Depth and Rate Problems

The video tutorial covers the concept of negative rates, using examples like grapes per minute and songs per day to explain proportionality. It discusses managing water levels in an aquarium with inflow and outflow rates, and explores the Challenger Deep, calculating descent and ascent rates. The tutorial concludes with practical examples and homework problems to reinforce the concepts.

If you eat 5 grapes per minute for 8 minutes, how many grapes will you have eaten in total?

• 60 grapes

• 50 grapes

• 40 grapes

• 30 grapes

In a proportional relationship represented by y = kx, what does the variable 'k' stand for?

• The variable rate

• The total time

• The initial value

• The constant of proportionality

If an aquarium is filled at 30 L per minute and drained at 20 L per minute, what is the net change in water level per minute?

• 50 L decrease

• 10 L decrease

• 10 L increase

• 50 L increase

How long will it take for a tank to overflow if it starts with 10,000 L and fills at a net rate of 10 L per minute until it reaches 12,000 L?

• 250 minutes

• 150 minutes

• 100 minutes

• 200 minutes

What is the depth of Challenger Deep, the deepest known point in the ocean?

• 35,814 ft

• 50,000 ft

• 20,000 ft

• 10,000 ft

If a submarine descends at a rate of -3 ft per second, how long will it take to reach a depth of 35,814 ft?

• 10,000 seconds

• 15,000 seconds

• 12,000 seconds

• 11,931 seconds

How many cookies can be made with 4 cups of flour if 3 cups make 15 cookies?

• 20 cookies

• 25 cookies

• 18 cookies

• 22 cookies

If a teacher uses 36 cm of tape for 9 projects, how much tape is needed for 10 projects?

• 50 cm

• 48 cm

• 44 cm

• 40 cm

What does a negative velocity indicate in the context of a boat traveling on a river?

• The boat is stationary

• The boat is accelerating

• The boat is moving upstream

• The boat is moving downstream

If a submarine can only ascend in 60 m stages, how many stages are needed to go from -340 m to the surface?

• 7 stages

• 6 stages

• 5 stages

• 4 stages