A linear function has a rate of change of −2. How much does y change for x-values increasing by 3

Q: A culture contains 1400 bacteria initially and doubles every 50 minutes. Assuming that the rate of…

A: Consider the function that models the number Pt=Aekt=B2tC Here, the objective is to find the…

Q: If a person's temperature after x hours of strenuous exercise is T(x) = x3(7 x2) + 98.6 degrees…

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Q: The rate of change in the number of urban transit vehicles such as buses and light-rail trains, in…

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Q: The function f(x) = 4ᴫx3/3 describes the volume, f(x), of a sphere of radius x inches. If the radius…

A: f(x) = 4πx33 Volume of sphere , f(x) = 4πx33 where,  x is the radius of sphere in inches.…

Q: Estimate the instantaneous rate of change of the function at x = -2. 2 (2, 0) -4 4 -2 -4 (-3, –5) a)…

A: Given:

Q: A heap of rubbish in the shape of a cube is being compacted into a smaller cube. Given that the…

A:

Q: 4) How quickly is an airplane's elevation currently rising if its height (in feet) as a function of…

A: We need to find rate of change of elevation or rate of change of height when t = 4 sec Hence we will…

Q: If g(x)=x2-2x2+4.what can you say about the rate of change of g(x) when x=2

A: By using differentiation property, we calculate the rate of change of the given function.

Q: The function f(x) = (4/3) πx3 describes the volume, f(x), of a sphere of radius x inches. If the…

A: fx=43πx3 Differentiating with respect to x, we get f'x=ddx43πx3=43π·3x2            ∵dxndx=nxn-1=4πx2

Q: Which relationship represents a function with a lesser rate of change than the function represented…

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Q: Given the function g(x) = -x² – 5x + 8, determine the average rate of change of the function over…

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Q: Find the rate of change of: h(x)=-3x+4

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Q: The function f(x) = x3 describes the volume of a cube, f(x), in cubic inches, whose length, width,…

A: Given volume function fx=x3 to find instantaneous rate of change of the volume x=4 in

Q: Given the function g(x) = -x² + 6x + 15, determine the average rate of change of the function over…

A: The average of a function over an interval is given by . The given function is and the interval…

Q: The graph of a linear function is shown. Find the rate of change of y with respect to x.

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Q: Use the formula below to find the instantaneous rate of change of the function at the given x-value.…

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Q: Find the rate of change between O and 1 y Save 20 16 12 8- f 4- ++X -4 -3 -2 -1 1 2 3 4 -4 -8+ -12…

A: Consider the given figure. We have to find the rate of change between 0 to 1. Let us take two point…

Q: find the average rate of change of ∫:

A: To find the average rate of change of given function. f(x)=x2-3x+2 Solution: We know, average rate…

Q: Find the net change and the average rate of change of f between x -5 and x = 6.

A: We have given the graph;

Q: If up is measured as being positive, the height of a ball rising after being thrown has a rate of…

A:

Q: Given the function g(x) = -a² +5x +14, determine the average rate of change of the function over the…

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Q: The function f (t) = 2300(0.25) represents the change in a quantity over decades. What does the…

A: constant 0.25 reveal about

Q: 4x Find the average rate of change of f(x) = 2Vx+ 5 9 between x = 4 and x = 25

A: topic- average rate of change of function

Q: Determine the instantaneous rate of change at x = 3 for g(x) = x² − 2x+5. A. 2 B. 4 C. 6 D. 8

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Q: Which function shows a positive rate of change? x -2 -1| 0| 1 y 13 9 51 1 2 3 y -4 -6 -8 - 10 O f(x)…

A:

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: Find the relative rate of change and evaluate at the given function

A: To find the relative rate of change we have to find f ' (x) [first derivative of f(x)]

Q: If a person's temperature after x hours of strenuous exercise is T(x) = x³ (7- x²) + 98.6 degrees…

A: We have to calculate the rate of change after 1 hours

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: If f(x) = - 3x + 6x + 3, find the instantaneous rate of change of f(x) at x = 0. Answer =

A:

Q: A culture contains 2000 bacteria initially and doubles every 60 minutes. Assuming that the rate of…

A: To determine the counting function P(t) explicitly, under the given conditions

Q: For which value of x is the instantaneous rate of change in the function graphed below negative? 2 1…

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Q: The graph of a linear function is shown. Find the rate of change of y with respect to x

A: We can find the rate of change as below.

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

A:

Q: Given g(x)=x² + x, find the rate of change of each on[-2,5].

A: Rate of change of function f over [a,b] is (f(b)-f(a))/(b-a)

Q: The function f(x) = x3 describes the volume of a cube, f(x), in cubic inches, whose length, width,…

A: From given the volume function is fx=x3.

Q: Determine the value of k so that the rate of change of the function f (x) = 4x² + kx – 7 is 7 when…

A: Answer

Q: Determine the interval(s) on which the rate of change of the function will be positive. * y G1125,…

A: Rate of change of function is positive means slope is positive or in others terms ; interval in…

Q: Between 2006 and 2016, the number of applications for patents, N, grew by about 3.1% per year. That…

A: Solve the differential equation by variable separation method. Use the initial condition to…

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

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Q: The percent concentration y of a certain drug in the bloodstream at any time t (in hours) is given…

A: Our objective is to find the derivative and derivative at t=1

Q: If g(x) = 3x + 6x2 + 4. What is the value of the instantaneous rate of change of g(x) when x = -1?…

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Q: The graph of a linear function is shown on the grid. 7. (-3, 3.6) s 4. (5, 2) 9-8-7-6-5 -3-2-1 123…

A: Rate of change of a function of straight line is simply slope of the given line so just find out the…

Q: the function f(t)=4100(0.965)30t represents the change in a quantity over t months. What does the…

A: Given the function, ft=41000.96530t represents the change in a quantity over t months.

Q: If f(x) = −2x^3 + 5 what is the average rate of change between x = −1 and x = 4

A: Use formula of avg rate of change

Q: Describe how to detumine the rate of Change between X = 1 and X - 3 for the function flx) = 3x3+1.…

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Q: – 3x Find the relative rate of change of f(x) = 6+ 3 e -

A:

Exponential Growth Model

The relation that represents an exponential function is: