Midterm Review S2

The height of the water in a bathroom, w, is a function of time, t. Let P represent this function. Height is measured in inches and time in minutes. Which statements represents P(0)=0.

• After 20 minutes, the bathroom is empty.

• The bathtub starts out with no water.

• After 10 minutes, the height of the water is 4 inches.

• The height of the water is 10 inches after 4 minutes.

The height of the water in a bathroom, w, is a function of time, t. Let P represent this function. Height is measured in inches and time in minutes. Which statements represents P(4)=10.

• After 20 minutes, the bathtub is empty.

• The bathtub starts out with no water.

• After 10 minutes, the height of the water is 4 inches.

• The height of the water is 10 inches after 4 minutes.

The height of the water in a bathroom, w, is a function of time, t. Let P represent this function. Height is measured in inches and time in minutes. Which statements represents P(10)=4.

• After 20 minutes, the bathtub is empty.

• The bathtub starts out with no water.

• After 10 minutes, the height of the water is 4 inches.

• The height of the water is 10 inches after 4 minutes.

Function f gives the temperature, in degrees Celsius, t hours after midnight. Chose the equation that represents the statement. "At 1:30 pm, the temperature was 20 degrees Celsius".

• f(1:30)=20

• f(1.5)=20

• f(13:30)=20

• f(13.5)=20

• $p=3n$

• $p=3\cdot25^n$

• $p=25+50n$

• $p=25\cdot3^n$

These equations represent the number of bacteria in four different dishes as a function of time, t, in days. Which equation represents the population with the greatest growth factor?

• $a\left(t\right)=1,000\cdot\left(\frac{5}{6}\right)^t$

• $b\left(t\right)=800\left(\frac{1}{50}\right)^t$

• $c\left(t\right)=600\cdot\left(\frac{5}{2}\right)^t$

• $d\left(t\right)=400\cdot3^t$