3. A linear function is given. f(x) = x + 4 %3D (a) Find the average rate of change of the function between x = a and x = a + h. (b) Find the slope of the line. Practice Another Version

Q: If a linear function has the points (2, 1) and (6, 3) onits graph, what is the rate of change of the…

A: Given the linear function has the points (2,1) and (6,3). We need to find the rate of change of the…

Q: A piano manufacturer has a daily fixed cost of 1,400 and a marginal cost of 1,600 per piano. Find…

A: Given, a piano manufacturer has a daily fixed cost of 1,400 and a marginal cost of 1,600 per piano

Q: A linear revenue function is R=40x   A)what is the slope? B)What is the marginal revenue? C)What…

A: Consider the linear revenue function R=40x. (a) The objective is to find the slope. (b) Find the…

Q: 15. The constant of proportionality involved in the direct variation of b with c, is 1.2. What is…

A: In this question, c is independent variable where as b is dependent variable. Given, b is directly…

Q: 4. The cost function for a commodity is given by Ctx) = 5-2x, what is the margiral average cost…

A: As per guideline we have to solve one question

Q: 13. a) Determine the average rate of change over the interval x = [1, 5] of the function y = 3x + 1.…

A: To solve the following

Q: Choose whether the following statement is true or false. The approximation of an instantaneous rate…

A: The given statement is:  The approximation of an instantaneous rate of change can be obtained by…

Q: 3) Draw the line segment whose slope represents the average rate of change from x = 0 to x = 3. Use…

A: As per bartleby guidelines we only give first question answers.

Q: 2. A man 6 feet tall walks at a rate of 5 feet per second away from a light that is 15 feet above…

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Q: Based of the graph, estimate the average rate of change from x=1 to x=4

A: Find the values of y at x=3 and x=1 which will be the values of f(3) and f(1) and then find the…

Q: Assume that the situation can be expressed as a linear cost function. Find the cost function in this…

A: use linear equation of cost function and satisfy value

Q: A model for the spread of an epidemic is that the rate of spread is proportional the number of…

A: Given: A model for the spread of an epidemic is that the rate of spread is proportional the number…

Q: The length / of a rectangle is increasing at a rate of 2 cm/s while the width w is decreasing at a…

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Q: snip

A: The average rate of change is the slope of the linear function or it can be said that it is the…

Q: Q1. Side x of a parallelogram is increasing at a rate of 7 cm/seconds and the another side y is…

A: Let 'x' be the length and 'y' be the breadth of the parallelogram. Since, dxdt=7 cm/secdydt=-6…

Q: Entomologists have discovered that a linear relationship exists between the rate of chirping of…

A: Part a)Given:

Q: Gonorhea is spread by sexual contact, takes 3 to 7 days to incubate, and can be treated with…

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Q: The average rate of change of the constant on the line at the points P(-1, 2) and Q(9, -13)…

A: Average rate of change can be calculated as follows:

Q: 11. Trụe or False If the average rate of change of a linear function 2 is then if y increases by 3,x…

A: For a function f(x) the average rate of change over an interval [a,b] is given by f(b)-f(a)b-a. The…

Q: The demand equation for handarafted violins by a certain violin maker can be approximated by p= 21…

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Q: 4. What is the rate of change described by the points in the table? change in y/change in x) * -1/3…

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Q: Suppose a 4-minute overseas call costs $4.2 and a 17-minutes call costs $18.63. (a) Assume the rates…

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Q: The table shows a linear relationship between x and y. What is the rate of change of y with respect…

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Q: Find the average rate of change g(x) = x = 2 = 0, x = h. x+1

A: Formula: The average rate of change of a function g(x) in an interval [a, b] is given by gavg(x) =…

Q: The relationship between food expenditure of 25 households (y) and their total expenditures (x) is…

A: Given: ln Y^=2.24+0.364 ln Xr2=0.886

Q: Given a function f(x)=e^2x−e^x+1, what value of x makes the relative rate of change equal to one?

A: We first find f'(x) using chain rule f(x)=e2x−ex+1f'(x)=2e2x-ex

Q: Is f(x) = 9 a linear function? o Yes, f(x) = 9 is a linear function. o No, f(x) = 9 is not a linear…

A: Change this function in the form of y=mx+c to find the solution.

Q: Suppose that the monthly cost C, in dollars, of purifying water ata waste treatment plant to only p…

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Q: a. What is the slope of the constant function y = k?b. What is the rate of change of a constant…

A: If function is given as y=fx Then the slope of the function is given as the first derivative of the…

Q: Suppose that y is decreasing at a rate of 4 units per 3-unit increase of x. What can we say about…

A: Regression analysis : Regression analysis is used to measures the association between two or more…

Q: Find the relative rate of change of f(x)=6x4ln(x)

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Q: If f(x) = 2x2 - 3x, find the average rate of change %3D ,f (x)) and (x +h,ƒ (x+ h)).

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Q: Find the average rate of change of g(a) = 3x -3 from a = -4 tox = 4. %3D > Next Question

A:

Q: For the curve y = 5x – 2x3, if x .6 increases at the rate of 2 units/s, then find the rate of change…

A: We are given the curve: y=5x-2x3 Slope (m)=dydx=5-6x2 Rate of change of slope  = dmdt=0-12xdxdt Now…

Q: Find the average rate of change of the function f(x)= x + 9x from x, =2 to x, = 4. The average rate…

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Q: If (x) = -4x – 3, find the average rate of change on the interval [0,2].

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Q: g(x) = 6/x+1 ; x = 0, x = h How do I find the net change and average rate of change between the…

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Q: The volume of a container is given by V = ar² ( h + 1) cm³ , where r(radius), h(height) are…

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Q: 4. The rate of change of a certain substance is proportional to the amount of substance is 10 grams…

A: According to the given question dxdt∝x.

Q: A coordinate plane graph is shown. A horizontal line is graphed passing through the y-axis at y = 4.…

A: Here we compare the rate of change (slope)

Q: 2) What sets linear functions apart from all other equations and graphs is that the average rate of…

A: The objective is to interpret the AROC and slope of a linear function.

Q: Is f(x) = 5 a linear function? O Yes, f(x) = 5 is a linear function. O No, f(x) = 5 is not a linear…

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Q: We can use a linear function to describe air leaking from a balloon, but this is not, in fact, an…

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Q: Consider the function.   What is the approximate average rate of change of the function from…

A: Average rate of change is ratio of difference of output and difference of input.

Q: Suppose total cost in dollars from the production of x printers is given byC(x) = 0.0001x3 + 0.005x2…

A: average rate of change of cost between point [a,b] is given by

Q: Which pairs of points would result in a line with a rate of change of 2:1?

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Q: . In a simple model of territory, a single animal defends a circular territory of radius x (miles).…

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Q: A hat manufacturer is planning to expand its workforce. It estimates that the number of hats…

A: