Strontium-90 has a half-life of 28 days. (a) A sample has initial mass of 50 mg. Find a formula for the mass remaining after t days, y(t). y(t) 50 -2 (*)- (b) Find the mass (in mg) remaining after 15 days. (Round your answer to one decimal place.) 34.5 mg (c) How long does it take (in days) the sample to decay to a mass of 2 mg? (Round your answer to the nearest day.) 130 days

Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
icon
Related questions
Question
Strontium-90 has a half-life of 28 days.
(a) A sample has initial mass of 50 mg. Find a formula for the mass remaining after t days, y(t).
y(t) =
50 2
(b) Find the mass (in mg) remaining after 15 days. (Round your answer to one decimal place.)
34.5
mg
(c) How long does it take (in days) the sample to decay to a mass of 2 mg? (Round your answer to the nearest day.)
130
days
(d) Sketch the graph of the mass function.
y
y
y
25
25
50
20
20
40
15
15
30
10
10
20
5
10
50
100
150
200
250
300
20
40
60
80
100
120
140
20
40
60
80
100
120
140
Transcribed Image Text:Strontium-90 has a half-life of 28 days. (a) A sample has initial mass of 50 mg. Find a formula for the mass remaining after t days, y(t). y(t) = 50 2 (b) Find the mass (in mg) remaining after 15 days. (Round your answer to one decimal place.) 34.5 mg (c) How long does it take (in days) the sample to decay to a mass of 2 mg? (Round your answer to the nearest day.) 130 days (d) Sketch the graph of the mass function. y y y 25 25 50 20 20 40 15 15 30 10 10 20 5 10 50 100 150 200 250 300 20 40 60 80 100 120 140 20 40 60 80 100 120 140
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 3 steps with 3 images

Blurred answer
Similar questions
Recommended textbooks for you
Calculus: Early Transcendentals
Calculus: Early Transcendentals
Calculus
ISBN:
9781285741550
Author:
James Stewart
Publisher:
Cengage Learning
Thomas' Calculus (14th Edition)
Thomas' Calculus (14th Edition)
Calculus
ISBN:
9780134438986
Author:
Joel R. Hass, Christopher E. Heil, Maurice D. Weir
Publisher:
PEARSON
Calculus: Early Transcendentals (3rd Edition)
Calculus: Early Transcendentals (3rd Edition)
Calculus
ISBN:
9780134763644
Author:
William L. Briggs, Lyle Cochran, Bernard Gillett, Eric Schulz
Publisher:
PEARSON
Calculus: Early Transcendentals
Calculus: Early Transcendentals
Calculus
ISBN:
9781319050740
Author:
Jon Rogawski, Colin Adams, Robert Franzosa
Publisher:
W. H. Freeman
Precalculus
Precalculus
Calculus
ISBN:
9780135189405
Author:
Michael Sullivan
Publisher:
PEARSON
Calculus: Early Transcendental Functions
Calculus: Early Transcendental Functions
Calculus
ISBN:
9781337552516
Author:
Ron Larson, Bruce H. Edwards
Publisher:
Cengage Learning