The graph of a linear function f is given. y (a) Find the rate of change of f. (b) Express f in the form f(x) = ax + b. f(x) = %3D 2.

Q: The time rate of change of an alligator population P in a swamp is proportional to the square of P.…

A:

Q: vehicle was valued at $36,000 in the year 2011. The value depreciated to $12,000 by the year 2015.…

A: Given query is to find the time taken to reach the price of the car to 800.

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: 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: Find the average rate of change of g(x)= -3x^3 +4 from x=-2 to x=3

A:

Q: Given the two points (2, 3) and (0, 4), find the rate of change. Is this function increasing or…

A:

Q: Consider the constant rate of decrease of a certain microorganism. At the start, there are 10 000…

A: Let's find.

Q: A small college had 3548 students in 1998 and 4272 students in 2002. Let t = 0 be 1995 and get the…

A: Suppose that, the total enrolment in any year is represented by the general linear expression E=A+Bx…

Q: Find a formula for the linear function f(x) with slope 2 and vertical intercept 1. f(x) =

A:

Q: Given the function f(x) = x² + 12x. (a) Find the average rate of change as x changes from 3 to 5.…

A:

Q: The average rate of change of the linear function f(x) =3x +5 between any two points is_________ .

A: Given that: The linear function f(x) = 3x + 5.

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

A:

Q: Consider the function f(x) = x2 − 3x + 3. (a) Find f' (x) from first principles. (b) Find the rate…

A:

Q: Find the average rate of change of g(x) = - 5x – 1 between the points (-4,19) and (3,-16)

A:

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

A:

Q: Solve the problem. Compute the instantaneous rate of change of the function at at x = a. f(x) = -8x2…

A:

Q: Suppose that f(x)3D4r (A) Find the slope of the line tangent to f(x) at a -2. -16 (B) Find the…

A:

Q: Consider the constant rate of decrease of a certain microorganism. At the start, there are 50000…

A: Given query is to find the population of microorganisms after 50 second.

Q: The number of deaths N per week has been observed to be linearly related to the average…

A: Given :          The number of deaths N per week has been observed to be linearly related to the…

Q: A population of 1000 students are in a dormitory. If initially, a virus infected 25 of them. If the…

A: Let number of students infected at time t be x  Then, number of healthy students at time t = (1000 -…

Q: Find the maximum rate of decrease of f at the point (1, 2). None of the above -2/2 2/2 8.

A: To find- Maximum rate of decrease of f at the point(1,2)

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: Marine ecologists estimate the reproduction curve for swordfish in a fishing ground to be  f(p) =…

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: If f(x) = x° + 2x² + 4. What can you say about the rate of change of f(x) when x = 0? A. It is…

A:

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

A:

Q: 9. Factor and sketch f (x) = -2x° – 10x + 18x + 162x³ + 216x² %3D b) State when the IROC is zero c)…

A:

Q: Find the average rate of change of g (x) = -2.x-2x from x = 2 to x 6. Simplify your answer as much…

A: We can find the average rate of change of a function as below in the following steps.

Q: 1. Given the following graph, determine: a) The average rate of change between -5sxs-3 b) The…

A: The average rate of change formula is y2-y1x2-x1

Q: 6. Create a linear function equation that has a rate of change of -3 and a solution at (5,2).

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

A:

Q: ) Greenland had a population of 55000 in 1980 and a population of 78000 in 1990. Assume that the…

A:

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

A:

Q: how do you find the average rate of change of the function over the given interval? y = -3x3 + 2x2…

A: Calculation:The given function is y =  – 3x3 + 2x2 – 4x + 1. Let y = f(x).Substitute x = – 2 in the…

Q: 7 Since the development of the iPod, the stock price of Apple has been growing rapidly and has been…

A: Given that the stock price of Apple has been growing rapidly using equation y=3.2e0.5x We compare…

Q: What is the output when the input is 4 for a linear function that has a y-intercept of 5 and a rate…

A: Given information: The input of the linear function is 4. The y-intercept of 5 and the rate of…

Q: Consider a rectangle where the length is decreasing at a rate of 7 inches per second while the width…

A: Given , length is decreasing at a rate of 7 inches per second i.e dl/dt = -7 inches per sec And…

Q: model a population p if its rate of growth is proportional to the amount present at time t

A: model a population p if its rate of growth is proportional to the amount present at time t

Q: Given a total-revenue function R(x) = 900/x -0.1x and a total-cost function C(x) = 1400 (x +2) +800,…

A: Given, Total revenue function Rx=900x2-0.1x Total cost function Cx=1400x2+213+800 We have to find…

Q: In the theory of learning, the rate at which a subject is memorised is assumed to be proportional to…

A: The subject to be memorized is given by At at time t. The total amount of subject to be memorized is…

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

A:

Q: The Snowtree cricket behaves in a rather interesting way: The rate at which it chirps depends…

A: Let x= number of chirps  y= temperature So two coordinates are (140,80) and (120,75)

Q: g(x)=-5x+2 find average rate of change of the function between x=a and x=a+h

A: Average rate of change of a function x=m to x=n is given as:

Q: y is a linear function of x with slope −4. If y is −3 when x is −1, what is y when x is 8? You do…

A: Linear Function  Y= mX+c  m= slope of function  c = Y intercept

Q: A certain gas satisfies the equation PV1.4 = C, where C is a constant, P is the pressure, and V is…

A: Given equation : P = 20 kg/cm2   V = 32  cm3dVdt=-2 cm3/min

Exponential Growth Model

The relation that represents an exponential function is: