Polynomial Equations

The water level in a tank can be represented by the function v(t)=-2.5t+200, where v(t) is the volume of the tank (in cm^3) after t seconds. How long does it take for the tank to completely drain?

• 70 seconds

• 75 seconds

• 80 seconds

• 85 seconds

Tags

CCSS.HSF.LE.B.5

Marc is saving up for a new $4500 car. Each week he puts $50 in his savings account. He creates a function to help him predict when he will hit his goal. The function is m(t)=50(t)+800, where m(t) is the money he has saved after t weeks. How many weeks will it take for Marc to reach $4500?

• 70

• 72

• 74

• 76

Tags

CCSS.HSF-BF.A.1A

Daphne turns the heat up on her thermometer to 24 degrees Celcius. Her house slowly begins to warm up. The temperature in her house, after she turns her thermometer up, can be tracked using the function t(h)=2h+16, where t(h) is the temperature (in degrees Celcius) after h hours. What was the initial temperature of Daphne's house?

• 15

• 16

• 17

• 18

Tags

CCSS.HSF.LE.B.5

Daphne turns the heat up on her thermometer to 24 degrees Celsius. Her house slowly begins to warm up. The temperature in her house, after she turns her thermometer up, can be tracked using the function t(h)=2h+16, where t(h) is the temperature (in degrees Celcius) after h hours. After how many hours will the temperature in Daphne's house reach 24 degrees?

• 3

• 4

• 5

• 6

Tags

CCSS.7.EE.B.4A

Lance is a diver. He dives into a body of water while his friend calculates his trajectory under the water. His depth (in meters relative to sea level), x seconds after diving, is modelled by the function:  $d\left(x\right)=\frac{1}{2}x^2-10x$  
How many seconds after diving will Lance hit his lowest altitude?

• 5

• 10

• 15

• 20

The population of minnows in a pond (in hundreds) as a function of rainfall (in centimeters) is modeled by the function  $f\left(x\right)=-2x^2+12x$  , where f(x) is the population of frogs after xcm of rainfall. After how much rainfall will the frog population be it's highest?

• 1

• 2

• 3

• 4

Lance is a diver. He dives into a body of water while his friend calculates his trajectory under the water. His depth (in meters relative to sea level), x seconds after diving, is modeled by the function:  $d\left(x\right)=\frac{1}{2}x^2-10x$  
How many seconds is dance under water for?

• 10

• 15

• 20

• 25

Lance is a diver. He dives into a body of water while his friend calculates his trajectory under the water.  His depth (in meters relative to sea level), x seconds after diving, is modeled by the function:  $d\left(x\right)=\frac{1}{2}x^2-10x$  
Which domain best represents Lance's dive?

•  $0\le x\le20$  , $x\in R$  

•  $x\le20$  , $x\in R$  

•  $0\le x\le10$  , $x\in R$  

•  $x\le10$  , $x\in R$  

The volume, V, in cubic inches, of a fish tank can be modeled by the function  $V=h\left(48-2h\right)^2$  where h is the height of the fish tank in inches and 0<h<24.

The maximum volume of this fish tank is _____  $in^3$  

The volume, V, in cubic inches, of a fish tank can be modeled by the function  $V=h\left(48-2h\right)^2$  where h is the height of the fish tank in inches and 0<h<24.

If the height of the fish tank is 6 inches, then what is the volume?