Exponential Function Half Life

Write a function to represent the following function:

A hospital prepares a 100 mg supply of technetium‐99m which has  a half‐life of 6 hours.

This question will be answered by the person whose first name comes first alphabetically. A student purchased a bike 3 years ago. The value of the bike decreased at a constant percent rate. After 1 year the value of the bike had decreased to $1,080. After 2 years, the value was $972. What exponential function models the value of the bike? Hint: Make a table of values and then find an equation that matches it.

The who loses paper, rock, scissors answers this question. Radioactive materials can be described using half-lives. For every half-life that passes, the amount of radioactive material decreases by 50%. If you begin with 40 grams of material, which function can you use to find y, the amount of substance that remains after t half-lives?

What is the rule of the function whose graph is shown below?

Which function is exponential?

• f(x)

• h(x)

• g(x)

A particular radioactive element has a half life of 25 years. For an initial mass of 10 grams, the mass y in grams after t years is given by
y=10(1/2)^t/25 where t>0
How much does the mass remains after 120 years?

• .682

• .25

• .5

• .359

What type of function is provided?

• Exponential Growth

• Exponential Decay

• Compound Interest

• exponential growth

• exponential decay

• Half-Life