You are told that the initial relationship between X and Y can be described by the following equation where Y is the variable measured on the vertical axis and X is the variable measured on the horizontal axis:  Y = 150 - 3X  a) suppose that for every X value the Y value increases by 50 units. Given this information and holding everything else constant, write the new equation for this relationship in slope-intercept form.    b) Return to the initial relationship between X and Y. Suppose you are now told that the quantity of X doubles at every value of Y, for all values of X greater than or equal to zero. This domain implies that we are only considering positive values of X. Given this information and holding everything else constant, write the new equation for this relationship in slope-intercept form for these positive values of X.

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...
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You are told that the initial relationship between X and Y can be described by the following equation where Y is the variable measured on the vertical axis and X is the variable measured on the horizontal axis: 

Y = 150 - 3X 

a) suppose that for every X value the Y value increases by 50 units. Given this information and holding everything else constant, write the new equation for this relationship in slope-intercept form. 

 

b) Return to the initial relationship between X and Y. Suppose you are now told that the quantity of X doubles at every value of Y, for all values of X greater than or equal to zero. This domain implies that we are only considering positive values of X. Given this information and holding everything else constant, write the new equation for this relationship in slope-intercept form for these positive values of X. 

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