Interpret Rate of Flow.
In this activity, you are going to investigate negative rate of change by observing a falling ladder. You have an incomplete question in the applet. Just pay attention to see when it is complete. Follow the instructions below.
(1.) How tall is the ladder?
(2.) How long did it take the top of the ladder to hit the ground?
(3.) What was the speed of the ladder when the question in the applet was complete?
(4.) Do you think the speed of the ladder was the same at any point during the fall?
(5.) Explain your reasoning.
Write an Equation to Model a Relation.
A student made a deposit of $100 into his account. After every week, he withdraw $20 to pay for transportation. Given that the account yielded no charges or interest, follow the instructions below to interact with the applet.
Solve Rate problem.
This section will give you the opportunity to apply your knowledge of negative rates.
Describe a situation where each of the following quantities might be useful.
(1.) – 20 gallons per hour.
(2.) – 10 feet per minute.
(3.) – 0.1 kilograms per second
A submarine is only allowed to change its depth by rising toward the surface in 60-meter stages. It starts off at -340 meters.
(1.) At what depth is it after 1 stage?
(2.) At what depth is it after 2 stages?
(3.) At what depth is it after 4 stages?
(4.) How many stages will it take to return to the surface?
A satellite recorded the movements of several boats. A motor boat traveled -3.4 miles per hour for 0.75 hours. How far did it go?
From the previous problem, if a tugboat traveled -1.5 miles in 0.3 hours. What was its velocity?
From the previous two problems, what do you think that negative distances and velocities could mean in this situation?