Chapter 3: Q 8. (page 143)
Examine the scatter diagram and determine whether the type of relation is linear or nonlinear.
Short Answer
The scatter diagram is linear.
Chapter 3: Q 8. (page 143)
Examine the scatter diagram and determine whether the type of relation is linear or nonlinear.
The scatter diagram is linear.
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Get started for freeGraph the function by starting with the graph of and using transformations (shifting, compressing, stretching, and/or reflection). Verify your results using a graphing utility.
Hint: If necessary, write in the form .
The monthly revenue R achieved by selling
x wristwatches is figured to be The monthly cost C of selling x wristwatches is
(a) How many wristwatches must the firm sell to maximize revenue? What is the maximum revenue?
(b) Profit is given as P(x) = R(x) - C(x). What is the profit function?
(c) How many wristwatches must the firm sell to maximize
profit? What is the maximum profit?
(d) Provide a reasonable explanation as to why the answers found in parts (a) and (c) differ. Explain why a quadratic function is a reasonable model for revenue.
In the United States, the birthrate B of unmarried women (births per 1000 unmarried women) for women whose age is a is modeled by the function
(a) What is the age of unmarried women with the highest birthrate?
(b) What is the highest birthrate of unmarried women?
(c) Evaluate and interpret B(40).
Suppose that the manufacturer of a
gas clothes dryer has found that, when the unit price is p dollars, the revenue R (in dollars) is
What unit price should be established for the dryer to maximize revenue? What is the maximum revenue?
In Problems 7–22, solve each inequality.
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