Chapter 3: Q. 1 (page 164)
Translate the following sentence into a mathematical
equation: The total revenue R from selling x hot dogs is $3
times the number of hot dogs sold.
The mathematical equation is
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If then
(a) Determine the slope and y-intercept of each function.
(b) Use the slope and y-intercept to graph the linear function.
(c) Determine the average rate of change of each function.
(d) Determine whether the linear function is increasing, decreasing, or constant.
In Problems 4 and 5, determine whether the function is linear or nonlinear. If the function is linear, find the equation of the line.
In Problems 7–22, solve each inequality.
Why does the graph of a quadratic function open up if and down if ?
The marginal cost of a product can be thought of as the cost of producing one additional unit of output. For example, if the marginal cost of producing the 50th product is \(6.20, it cost \)6.20 to increase production from 49 to 50 units of output. Suppose the marginal cost C
(in dollars) to produce x thousand mp3 players is given by the function
(a) How many players should be produced to minimize the marginal cost?
(b) What is the minimum marginal cost?
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