ected to decrease by 15 percent eve hefs at the event. 50(0.85)' represent the number of p w. wer the question, let's solve the equ rform one operation to both sides of

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
Right now, five hundred fifty pastry chefs have gathered for a tournament in your hometown, and the
number is expected to decrease by 15 percent every hour. The organizers want to predict when there will
be 50 pastry chefs at the event.
Let h(t) = 550(0.85)' represent the number of pastry chefs at the tournament, where t is the number of
hours from now.
In order to answer the question, let's solve the equation: 50 = 550(0.85)ʻ
1. First, perform one operation to both sides of the equation so that (0.85)' is alone on the right-hand
side. Write your resulting equation below. [Do not use your calculator at any point.]
Equation:
2. Now, apply the natural logarithm to both sides and simplify the right-hand side by using the property
In (m') = bln(m). Write the resulting equation below. [Do not use your calculator at any point.]
Equation:
3. Finally, isolate the variable t.
Answer: t =
hours
Transcribed Image Text:Right now, five hundred fifty pastry chefs have gathered for a tournament in your hometown, and the number is expected to decrease by 15 percent every hour. The organizers want to predict when there will be 50 pastry chefs at the event. Let h(t) = 550(0.85)' represent the number of pastry chefs at the tournament, where t is the number of hours from now. In order to answer the question, let's solve the equation: 50 = 550(0.85)ʻ 1. First, perform one operation to both sides of the equation so that (0.85)' is alone on the right-hand side. Write your resulting equation below. [Do not use your calculator at any point.] Equation: 2. Now, apply the natural logarithm to both sides and simplify the right-hand side by using the property In (m') = bln(m). Write the resulting equation below. [Do not use your calculator at any point.] Equation: 3. Finally, isolate the variable t. Answer: t = hours
Expert Solution
steps

Step by step

Solved in 2 steps

Blurred answer
Knowledge Booster
Linear Equations
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, calculus and related others by exploring similar questions and additional content below.
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