Concept explainers
(a)
To sketch: the graph of the given linear equation.
(a)
Explanation of Solution
The linear equation is given,
Where,
y is the production cost in dollars.
x is the number of toaster ovens which are produced in a month.
Calculate x-intercept and y-intercept of line to find the two points of the linear equation that represents a line,
Substitute 0 for y in equation (1) to find the value of x-intercept,
The first point on the linear equation is
Substitute 0 for x in equation (1) to find the value of y-intercept,
The second point on the linear equation is
The equation (1) is in the form of general equation
Sketch the graph by the points
Figure (1)
The graph of linear equation (1) is shown in above Figure (1).
(b)
The significance of slope and the y- intercept of the graph of the line.
(b)
Explanation of Solution
From part (a), the slope of the linear equation is 6 and the x- intercept is
The slope represents an increase of 6 toaster ovens for each one dollar increase in a month, the y-intercept indicates that 3000 toaster ovens are produced if there is no increase in price, and the x-intercept indicates that no toaster ovens are produced with an decrease of $50 in production cost.
Chapter 1 Solutions
Precalculus: Mathematics for Calculus - 6th Edition
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- Calculus: Early TranscendentalsCalculusISBN:9781319050740Author:Jon Rogawski, Colin Adams, Robert FranzosaPublisher:W. H. FreemanCalculus: Early Transcendental FunctionsCalculusISBN:9781337552516Author:Ron Larson, Bruce H. EdwardsPublisher:Cengage Learning