IM 7.5.12 Practice: Negative Rates

Describe a situation where each of the following quantities might be useful.

[math]-20[/math] gallons per hour[br]

[math]-10[/math] feet per minute

[math]-0.1[/math] 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.

At what depth is it after 1 stage?

At what depth is it after 2 stages?

At what depth is it after 4 stages?

How many stages will it take to return to the surface?

Some boats were traveling up and down a river. 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?[br]

A tugboat traveled -1.5 miles in 0.3 hours. What was its velocity?[br]

What do you think that negative distances and velocities could mean in this situation?[br]

A cookie recipe uses 3 cups of flour to make 15 cookies. How many cookies can you make with this recipe with 4 cups of flour? (Assume you have enough of the other ingredients.)[br]

A teacher uses 36 centimeters of tape to hang up 9 student projects. At that rate, how much tape would the teacher need to hang up 10 student projects?[br]

Evaluate each expression. When the answer is not a whole number, write your answer as a fraction.

[math]-4\cdot-6[/math]

[math]-24\cdot-\frac{7}{6}[/math]

[math]4\div-6[/math]

[math]\frac{4}{3}\div-24[/math]

IM 7.5.12 Practice: Negative Rates

Describe a situation where each of the following quantities might be useful.

A submarine is only allowed to change its depth by rising toward the surface in 60-meter stages. It starts off at -340 meters.

Some boats were traveling up and down a river. A satellite recorded the movements of several boats.

Evaluate each expression. When the answer is not a whole number, write your answer as a fraction.

Information: IM 7.5.12 Practice: Negative Rates