Chapter 3: Q 5. (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 5. (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 freeIn 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).
Determine the quadratic function whose graph is given.
The John Deere company has found
that the revenue, in dollars, from sales of riding mowers is a function of the unit price p, in dollars, that it charges. If the revenue R is
what unit price p should be charged to maximize revenue? What is the maximum revenue?
The daily revenue R achieved by selling x boxes of candy is figured to be The daily cost C of selling x boxes of candy is .
(a) How many boxes of candy 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 boxes of candy 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.
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.
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