Scientists are studying how a lizard population is spread through a certain region. As the scientists move South from their base camp, they notice the number of lizards per square mile is decreasing. 10 miles South of the base camp, the number of lizards per square mile is measured at 225. The rate of change of lizard density is estimated to be -5 lizards per square mile per mile. In mathematical notation, the scientists record p(10) = 225 Р (10) — —5 Based on the given information, how many lizards per square mile are estimated to inhabit the land 17 miles South of the base camp?

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
Topic Video
Question
100%

Beginner calculus question for self-studying, NOT GRADED. I will rate and like, thank you for your work!

Scientists are studying how a lizard population is spread through a certain region. As the scientists move South from their base camp, they notice the number of lizards per square mile is decreasing.
10 miles South of the base camp, the number of lizards per square mile is measured at 225. The rate of change
lizard density is estimated to be -5 lizards per square mile per mile.
In mathematical notation, the scientists record
p(10) = 225
p' (10) = –5
Based on the given information, how many lizards per square mile are estimated to inhabit the land 17 miles South of the base camp?
Transcribed Image Text:Scientists are studying how a lizard population is spread through a certain region. As the scientists move South from their base camp, they notice the number of lizards per square mile is decreasing. 10 miles South of the base camp, the number of lizards per square mile is measured at 225. The rate of change lizard density is estimated to be -5 lizards per square mile per mile. In mathematical notation, the scientists record p(10) = 225 p' (10) = –5 Based on the given information, how many lizards per square mile are estimated to inhabit the land 17 miles South of the base camp?
Expert Solution
steps

Step by step

Solved in 2 steps with 1 images

Blurred answer
Knowledge Booster
Research Design Formulation
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