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Examine the scatter diagram and determine whether the type of relation is linear or nonlinear.

Short Answer

Expert verified

The scatter diagram is linear.

Step by step solution

01

Given information

The given scatter diagram is,

02

Examine and join two points on the graph

The best fit line of the scatter diagram is,

The graph of the line is the best fit. So, the scatter plot is a linear relation.

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Most popular questions from this chapter

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

B(a)=-0.27a2+14.23a-120.16

(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 R(p)=-12p2+1900p

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 R(x)=9.5x-0.04x2The daily cost C of selling x boxes of candy is C(x)=1.25x+250.

(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 G(x)=-2,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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