Exponential Decay and Growth Concepts

Exponential Decay and Growth Concepts

Assessment

Interactive Video

Mathematics, Science, Chemistry

9th - 12th Grade

Medium

Created by

Emma Peterson

Used 2+ times

FREE Resource

The video tutorial explains how to model the decay of a radioactive element using an exponential decay function. Starting with 80 milligrams, the element decays to 48 milligrams in three months. The tutorial demonstrates how to calculate the decay rate (K) and formulate the exponential function. It further explores how to determine the time required for the element to decay from 80 milligrams to 5 milligrams, using logarithmic properties and solving for T.

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10 questions

Show all answers

1.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the initial amount of the radioactive element in the problem?

100 milligrams

5 milligrams

80 milligrams

48 milligrams

2.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Which function is used to model exponential growth and decay?

P(t) = P0 * e^(kt)

P(t) = P0 + kt

P(t) = P0 / e^(kt)

P(t) = P0 * kt

3.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the value of P(t) after three months?

48 milligrams

60 milligrams

30 milligrams

80 milligrams

4.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the purpose of taking the natural log on both sides of the equation?

To simplify the equation

To apply the power property of logarithms

To eliminate the exponential term

To convert the equation to a linear form

5.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the calculated value of the decay rate, K?

0.170275

-0.170275

0.270175

-0.270175

6.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the exponential decay model derived in the video?

P(t) = 80 * e^(0.170275t)

P(t) = 80 * e^(-0.170275t)

P(t) = 48 * e^(0.170275t)

P(t) = 48 * e^(-0.170275t)

7.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the significance of the natural log of e in the calculations?

It equals the decay rate

It equals e

It equals one

It equals zero

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