An isotope of the element erbium has a half-life of approximately 9 hours. Initially there are 13 grams of the isotope present. a. Write the exponential function that relates the amount of substance remaining, A(t) measured in grams, as a function of t, measured in hours. A(t)= grams b. Use part a. to determine the rate at which the substance is decaying after t hours. A' (t) = grams per hour c. Use part b. to determine the rate of decay at 5 hours. Round to four decimal places. A' (5) grams per hour

College Algebra
1st Edition
ISBN:9781938168383
Author:Jay Abramson
Publisher:Jay Abramson
Chapter6: Exponential And Logarithmic Functions
Section6.1: Exponential Functions
Problem 60SE: The formula for the amount A in an investmentaccount with a nominal interest rate r at any timet is...
icon
Related questions
Question
An isotope of the element erbium has a half-life of approximately 9 hours. Initially there are 13 grams of
the isotope present.
a. Write the exponential function that relates the amount of substance remaining, A(t) measured in
grams, as a function of t, measured in hours.
A(t)=
t
grams
b. Use part a. to determine the rate at which the substance is decaying after t hours.
A' (t) =
grams per hour
c. Use part b. to determine the rate of decay at 5 hours. Round to four decimal places.
A (5)
grams per hour
Transcribed Image Text:An isotope of the element erbium has a half-life of approximately 9 hours. Initially there are 13 grams of the isotope present. a. Write the exponential function that relates the amount of substance remaining, A(t) measured in grams, as a function of t, measured in hours. A(t)= t grams b. Use part a. to determine the rate at which the substance is decaying after t hours. A' (t) = grams per hour c. Use part b. to determine the rate of decay at 5 hours. Round to four decimal places. A (5) grams per hour
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 3 steps with 3 images

Blurred answer