A battery for an electric vehicle will provide a range of 5 miles for each battery, but for each battery the range of all the batteries is decreased by 0.3 miles because of the added weight. a) If it wasn’t for this decrease due to weight, the relationship between range and number of batteries would be linear. Write the formula for this linear relationship. b) now modify the linear case to the non-linear case and write the formula for range in terms of the number of batteries that includes the decrease due to weight. c) Find the maximum range for this vehicle design and the number of batteries that gives the maximum range.
A battery for an electric vehicle will provide a range of 5 miles for each battery, but for each battery the range of all the batteries is decreased by 0.3 miles because of the added weight. a) If it wasn’t for this decrease due to weight, the relationship between range and number of batteries would be linear. Write the formula for this linear relationship. b) now modify the linear case to the non-linear case and write the formula for range in terms of the number of batteries that includes the decrease due to weight. c) Find the maximum range for this vehicle design and the number of batteries that gives the maximum range.
Algebra: Structure And Method, Book 1
(REV)00th Edition
ISBN:9780395977224
Author:Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. Cole
Publisher:Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. Cole
Chapter4: Polynomials
Section4.10: Problems Without Solutions
Problem 11P
Related questions
Concept explainers
Equations and Inequations
Equations and inequalities describe the relationship between two mathematical expressions.
Linear Functions
A linear function can just be a constant, or it can be the constant multiplied with the variable like x or y. If the variables are of the form, x2, x1/2 or y2 it is not linear. The exponent over the variables should always be 1.
Question
A battery for an electric vehicle will provide a range of 5 miles for each battery, but for each battery the range of all the batteries is decreased by 0.3 miles because of the added weight.
a) If it wasn’t for this decrease due to weight, the relationship between range and number of batteries would be linear. Write the formula for this linear relationship.
b) now modify the linear case to the non-linear case and write the formula for range in terms of the number of batteries that includes the decrease due to weight.
c) Find the maximum range for this vehicle design and the number of batteries that gives the maximum range.
Expert Solution
This question has been solved!
Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.
This is a popular solution!
Trending now
This is a popular solution!
Step by step
Solved in 3 steps
Knowledge Booster
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, advanced-math and related others by exploring similar questions and additional content below.Recommended textbooks for you
Algebra: Structure And Method, Book 1
Algebra
ISBN:
9780395977224
Author:
Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. Cole
Publisher:
McDougal Littell
Elementary Geometry For College Students, 7e
Geometry
ISBN:
9781337614085
Author:
Alexander, Daniel C.; Koeberlein, Geralyn M.
Publisher:
Cengage,
Algebra: Structure And Method, Book 1
Algebra
ISBN:
9780395977224
Author:
Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. Cole
Publisher:
McDougal Littell
Elementary Geometry For College Students, 7e
Geometry
ISBN:
9781337614085
Author:
Alexander, Daniel C.; Koeberlein, Geralyn M.
Publisher:
Cengage,
Linear Algebra: A Modern Introduction
Algebra
ISBN:
9781285463247
Author:
David Poole
Publisher:
Cengage Learning
Elementary Algebra
Algebra
ISBN:
9780998625713
Author:
Lynn Marecek, MaryAnne Anthony-Smith
Publisher:
OpenStax - Rice University