Explain the relationship between the average rate of change and the instantaneous rate of change. Be sure to talk about how the two are similar and yet different. Include a verbal explanation in which you refer to a graphical representation.

Q: The stated intent of the 1994 “don’t ask, don’t tell” policy was to reduce the number of discharges…

A: In the year 1994, the number of active duty gay service members is 617. In the year 1998, the number…

Q: What is the difference between the average rate of change and instantaneous rate of change?

A: The difference between the average rate of change and instantaneous rate of change

Q: Vhat is the rate of change of this table X Y -2-3 2 5

A:

Q: Is C(E), cost as a function of employee turnover, better modeled with a linear function or an…

A: Given data is: The point in the form of E,C

Q: A balloon is inflating at a constant rate of 9 cubic centimeters per second. When the volume of the…

A:

Q: What is the formula that represents the average rate of change in a linear function?

A: The average rate of change formula for a function f(x) between [a, b] is: f(b)-f(a)b-a

Q: The analyst is interested in estimating effects of percentage change of individual work experience…

A: Here in given scenario both dependent and independent variable change in percentage

Q: find the average rate of change of ∫: From 1 to 2

A: The average rate of change between two input values is the total change of the function values…

Q: What is the average rate of change in the number of fruit flies present between Day 3 and Day 5?

A: Given,          Rakeem is researching a population of fruit flies. He observes the number of…

Q: An original count of a deer population in an Alberta forest determined that 238 deer were present.…

A: Given: Past population = 238 Current population = 431 Formula Used:

Q: The number of crimes that occurred in a certain city per 1000 people had decreased from 45.9 in 1920…

A: To determine the average rate of change in the number of crimes per 1000 people.

Q: Your car is traveling 50 miles per hour due south and is half a mile north of an inter-section. A…

A:

Q: Rate of Change Y 1 2 3 10 4 14 18 2.

A:

Q: Compare Rates of Change and Tangent Lines?

A: Rates of change: The rates of changes of function f(x) on an interval [a, b] is the slope of the…

Q: A sample of bacteria starts with 600 bacteria and doubles every month. a. Describe the input…

A:

Q: Can the instantaneous rate of change be different than the average rate of change in the same…

A: We describe that the instantaneous rate of change be different than the average rate of change in…

Q: How does related rates apply in real life situations?

A: The related rate is a concept that involves how the rate of two or more than two changing quantities…

Q: What kind of situation would be described by a positive rate of change for a pool context (volume of…

A: To write that what kind of situation is described by the positive rate of change for a pool.

Q: what are linear functions and their rate of change?

A: Linear functions  linear function whose graph is a straight line and contain one dependent and one…

Q: Find the rate of change between (2,3) and (-4,-1) Rate of change =

A:

Q: How do I find the rate of change? Having trouble with my homework.

A: For example, consider

Q: How can I find the average rate of change?

A: Given that:f(x)=2x2-x+1 ;          x=0, x=3

Q: Suppose you bought a Honda Civic in 2005 for $23,000. In 2007, it was worth $18,000. Assume that the…

A: The equation for the value of the car is,

Q: Explain : What is the average rate of change of a function?

A: Average rate of change: The average rate of change of a function is defined as the average rate at…

Q: Explain the difference between the positive, negative, and constant rate of change?

A: we need to explain the difference between the positive, negative, and constant rate of change.

Q: Is the rate of change in cost constant with respect to the number of pencils bought? Explain.

A: Yes, the rate of change of cost is constant with the rate of change of pencil.

Q: The rates of increase in the population of a country during the last 3 decades are 10%, 20% and 30%.…

A: Given The data is as follows: Rate of increase in the pop. during last 3 decades are as follows:…

Q: If the rate of change for the pool (volume of water in pool versus elapsed time) were positive, what…

A: To write about the graph

Q: Calculate the rate of change between the points labeled on the graph below. (-2, 10) 10 (0, 2) O -10…

A: Consider the given figure. At the graph two point is given, which is given below. −2,10 and 0,2 We…

Q: The graph shows the volume of water as Gavin fills up the pool in his backyard. What is the rate of…

A: Rate of change is the slope of the line Rate of change = slope =change in ychange in xRate of change…

Q: Explain parameters when the variable is quantitative?

A: Parameter is a numerical quantity that describes a certain aspect of the population. For instance,…

Q: What is the rate of change shown by the data in the table? Distance from Time in seconds motion…

A: Time in seconds 0 1 2 3 4 As we can see from the above table that there is difference of 1 sec in…

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

A:

Q: regardless of which two points on a line you find the average rate of change of, the slope is always…

A: Average rate of change of slope of a line is always 0.

Q: The number of Americans age 65 or older can be modeled as n(x) = −0.00082x3 + 0.059x2 + 0.183x +…

A: For  rate of change of the projected number in 2045 we have to find n'(45) because at 2045 ,…

Q: The altitude of a triangle is increasing at a rate of 2 centimeters/minute while the area of the…

A:

Q: . What quantity does the slope of your graph represent? Explain in words and using ations.

A: Note: Hi there! Thank you for posting the question. As you have posted multiple questions, as per…

Q: Does the table represent data with a constant rate of change? Justify- your answer. y 2-5 4. 20 11…

A: First  we shall find the rate of change by using the formula                               Rate of…

Q: Describe the Related Rates Equations?

A: Related rates problems involve two (or more) variables that change at the same time, possibly at…

Q: Does the following table of values describe a liner fuction? If it does what is the rate of change.…

A: Given values : x y 0 -5 2 -1 4 3 6 7

Q: Give an example of a increased rate and a decreased rate

A: Increased and decreased rate with proper example are as follows.

Q: Determine the rate of change of the following line.

A: In graph we have two points (-4, 0)  and (-2, -3)  Rate of change means slope

Q: Explain how the instantaneous rate of change of a function at a point is related to its average…

A: Instantaneous rate of change: The instantaneous rate of change is the change in the rate at a…

Q: Give an example of a nominal variable for people in recovery for substance abuse

A: Nominal variable: This type of variable are basically qualitative variables taking categories with…

Q: Classify the variable as qualitative or quantitative. If quantitative, classify further as discrete…

A: Here use basic of qualitative and quantitative

Q: Find the rate of change in the percent of individuals free of headache pain over the given time span…

A: It is clearly seen in the graph that, Percent of individuals free from headache pain after t1 = 0.5…

Q: If the temperature on the third day of the month is 50 degrees Fahrenheit and 82 degrees by the 11th…

A: Given: The temperature on the third day of the month is 50 degrees Fahrenheit and 82 degrees by the…

Q: Explain the difference between the average rate of change and the instantaneous rate of change.…

A: Average rate of change  : The instantaneous rate of change  between two points is the slope of the…

Q: In 1951, wild turkeys were harvested in only two counties in Tennessee. Through intensive…

A: (a) Units on the area=(units on x axis) * (unit on y axis)…

Exponential Growth Model

The relation that represents an exponential function is: