In 1995 the Solar Electric Company showed a profit of $3.45 per share, and it expects this figure to increase annually by $0.25 per share. If the year 1995 corresponds to x = 0, and successive years correspond to x = 1,2,3, and so on, find the equation y = mx + b of the line that allows the company to predict its profit y dollars per share in future years. Sketch the graph of this equation and find the predicted profit per share in 2001

Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
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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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In 1995 the Solar Electric Company showed a profit of $3.45 per share, and it expects this figure to increase annually by $0.25 per share. If the year 1995 corresponds to x = 0, and successive years correspond to x = 1,2,3, and so on, find the equation y = mx + b of the line that allows the company to predict its profit y dollars per share in future years. Sketch the graph of this equation and find the predicted profit per share in 2001.

Expert Solution
Step 1

In 1995, profit is $ 3.45 per share.

Annual increase in profit/share =$ 0.25 per share.

Let the number of years since 1995 is x.

 

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