How to evaluate an exponential function modeling a real life situation

The video tutorial explains how to calculate the amount of carbon left in a substance over time using an equation. It begins by defining variables for carbon amount and time, then demonstrates calculating the initial carbon amount when time is zero. The tutorial proceeds to calculate the remaining carbon after 10,400 years, emphasizing the importance of using exact values in calculations.

What does the variable C represent in the carbon decay equation?

• The number of years

• The decay rate

• The amount of carbon

• The initial amount of substance

If T represents time, what value should T have to find the initial amount of carbon?

• 100

• 0

• 10

• 1

What is the initial amount of carbon if T is zero?

• 20 grams

• 10 grams

• 40 grams

• 30 grams

How many years are considered to calculate the remaining carbon in the third section?

• 5,000 years

• 10,400 years

• 20,000 years

• 1,000 years

What is the approximate amount of carbon left after 10,400 years?

• 15.00 grams

• 0.65 grams

• 5.65 grams

• 10.00 grams