4. The amount, 4, in grams of a radioactive material that is decaying can be modeled by A(d)= 450(0.88)", where d is the number of days since it started its decay. (a) By what percent is the material decaying per day? (b) Give an interpretation of the fact that A(14)= 75. (c) Use your calculator to sketch a graph of A(d) (d) The material is safe to transport once it has less than 5 grams of radioactive mass left. Using tables on your calculator, determine the first day when it will be safe to transport this material. Show some entries from your table to support your answer. over the interval 0sds21. You determine an appropriate y-window and label the y- intercept with its value. Amount (grams) Y, 21 d (days)

4. The amount, 4, in grams of a radioactive material that is decaying can be modeled by A(d)= 450(0.88)", where d is the number of days since it started its decay. (a) By what percent is the material decaying per day? (b) Give an interpretation of the fact that A(14)= 75. (c) Use your calculator to sketch a graph of A(d) (d) The material is safe to transport once it has less than 5 grams of radioactive mass left. Using tables on your calculator, determine the first day when it will be safe to transport this material. Show some entries from your table to support your answer. over the interval 0sds21. You determine an appropriate y-window and label the y- intercept with its value. Amount (grams) Y, 21 d (days)

Algebra and Trigonometry (6th Edition)

6th Edition

ISBN:9780134463216

Author:Robert F. Blitzer

Publisher:Robert F. Blitzer

ChapterP: Prerequisites: Fundamental Concepts Of Algebra

Section: Chapter Questions

Problem 1MCCP: In Exercises 1-25, simplify the given expression or perform the indicated operation (and simplify,...

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Concept explainers

Differential Equations

Have you ever observed the movement of the satellites and rockets or how the planets go around the sun in their orbits? How will you determine their motion? Definitely they follow some scientific laws and these kinds of problems are framed as differential equations.

Question

4. The amount, A, in grams of a radioactive material that is decaying can be modeled by A(d)= 450(0.88)“,
where d is the number of days since it started its decay.
(a) By what percent is the material decaying per
day?
(b) Give an interpretation of the fact that
A(14)= 75.
(c) Use your calculator to sketch a graph of A(d)
over the interval 0sds21. You determine
an appropriate y-window and label the y-
intercept with its value.
(d) The material is safe to transport once it has
less than 5 grams of radioactive mass left.
Using tables on your calculator, determine the
first day when it will be safe to transport this
material. Show some entries from your table
Amount (grams)
to support your answer.
Y,
21
d (days)

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