Vitamin C Half-Life and Functions

The video tutorial explains how to model the decay of vitamin C in the body using an exponential function, given its half-life of 30 minutes. It covers both the half-life model and the continuous growth model, focusing on the half-life model in this lesson. The tutorial demonstrates how to write the function using minutes and hours, calculate the remaining vitamin C after four hours, and determine the time it takes for the vitamin C level to drop to 75 milligrams.

What is the half-life of vitamin C as mentioned in the video?

• 15 minutes

• 30 minutes

• 60 minutes

• 45 minutes

Which model is used in this lesson to write the function for vitamin C amount?

• Continuous growth model

• Half-life model

• Quadratic model

• Linear model

What is the initial amount of vitamin C used in the function?

• 600 milligrams

• 500 milligrams

• 400 milligrams

• 250 milligrams

How is the half-life of 30 minutes expressed in hours?

• 1 hour

• 0.25 hours

• 0.5 hours

• 2 hours

What is the exponent when using hours as the unit of time?

• t/30

• t/2

• 2t

• t/60

How many milligrams of vitamin C are left after 4 hours?

• 20 milligrams

• 2 milligrams

• 5 milligrams

• 10 milligrams

How many minutes are equivalent to 4 hours?

• 300 minutes

• 120 minutes

• 180 minutes

• 240 minutes

What is the equation used to find the time when vitamin C drops to 75 milligrams?

• 75 = 500 * (1/3)^t

• 75 = 500 * (1/4)^(2t)

• 75 = 500 * (1/2)^t

• 75 = 500 * (1/2)^(2t)

What mathematical operation is used to solve for t in the equation?

• Subtraction

• Addition

• Multiplication

• Logarithm

Approximately how many hours does it take for the vitamin C level to drop to 75 milligrams?

• 1.0 hours

• 1.2 hours

• 1.6 hours

• 1.4 hours