The sales of Sherwin-Williams paint in different regional markets depends on several input variables. One variable that partially drives selling price, which in turn affects sales, is the cost to get the product to market. When other input variables are held constant, sales can be modeled as s(x) 597.3(0.9214x +12) thousand gallons when it costs x dollars to get a gallon of paint to market, data from 0 s x s 2.T (a) How many gallons of paint are sold when it costs 45 cents for a gallon to reach the market? (Round your answer to three decimal places.) thousand gallons (b) How quickly are sales changing when x = 0.45? (Round your answer to three decimal places.) thousand gallons per dollar

Big Ideas Math A Bridge To Success Algebra 1: Student Edition 2015
1st Edition
ISBN:9781680331141
Author:HOUGHTON MIFFLIN HARCOURT
Publisher:HOUGHTON MIFFLIN HARCOURT
Chapter3: Graphing Linear Functions
Section: Chapter Questions
Problem 1CA
icon
Related questions
Question
The sales of Sherwin-Williams paint in different regional markets depends on several input variables. One variable that partially drives selling price, which in turn affects sales, is the cost
to get the product to market. When other input variables are held constant, sales can be modeled as
s(x) 597.3(0.9214x +12) thousand gallons
when it costs x dollars to get a gallon of paint to market, data from 0 s x s 2.T
(a) How many gallons of paint are sold when it costs 45 cents for a gallon to reach the market? (Round your answer to three decimal places.)
thousand gallons
(b) How quickly are sales changing when x = 0.45? (Round your answer to three decimal places.)
thousand gallons per dollar
Transcribed Image Text:The sales of Sherwin-Williams paint in different regional markets depends on several input variables. One variable that partially drives selling price, which in turn affects sales, is the cost to get the product to market. When other input variables are held constant, sales can be modeled as s(x) 597.3(0.9214x +12) thousand gallons when it costs x dollars to get a gallon of paint to market, data from 0 s x s 2.T (a) How many gallons of paint are sold when it costs 45 cents for a gallon to reach the market? (Round your answer to three decimal places.) thousand gallons (b) How quickly are sales changing when x = 0.45? (Round your answer to three decimal places.) thousand gallons per dollar
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 2 steps with 2 images

Blurred answer
Recommended textbooks for you
Big Ideas Math A Bridge To Success Algebra 1: Stu…
Big Ideas Math A Bridge To Success Algebra 1: Stu…
Algebra
ISBN:
9781680331141
Author:
HOUGHTON MIFFLIN HARCOURT
Publisher:
Houghton Mifflin Harcourt
Algebra & Trigonometry with Analytic Geometry
Algebra & Trigonometry with Analytic Geometry
Algebra
ISBN:
9781133382119
Author:
Swokowski
Publisher:
Cengage
College Algebra
College Algebra
Algebra
ISBN:
9781337282291
Author:
Ron Larson
Publisher:
Cengage Learning
Glencoe Algebra 1, Student Edition, 9780079039897…
Glencoe Algebra 1, Student Edition, 9780079039897…
Algebra
ISBN:
9780079039897
Author:
Carter
Publisher:
McGraw Hill
Algebra and Trigonometry (MindTap Course List)
Algebra and Trigonometry (MindTap Course List)
Algebra
ISBN:
9781305071742
Author:
James Stewart, Lothar Redlin, Saleem Watson
Publisher:
Cengage Learning