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

Q: 53. The rate of vibration of a string under constant tension varies inversely with the length of the…

A: lets say vibration per second =v length = l as per data v∝1lv1l1=v2l2

Q: Snowballs formed by kids in winter season is found to melt in such a way that the rate of change in…

A:

Q: Thepriceoftomatoeswentfrom$1.12per lb.to$1.96per lb.in three years.Find the rate of change of the…

A:

Q: How does the average rate of change differ for a linear function versus an increasing exponential…

A: Given two function a linear function and an exponential function.

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: What does it mean if two quantities vary directly? Explain.

A:

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: Explain Instantaneous Rates of Change?

A: The instantaneous rate of change is the change in the rate at a particular instant, and it is same…

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

A:

Q: An office building worth $4 million when it was completed in 2015 is being depreciated linearly over…

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: The rate of change of any exponential function is always positive. True False

A: True

Q: The count in a culture of bacteria was 400 after 2 hours and 25,600 after 6 hours. a) What is the…

A: Applications of derivatives

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 is the relationship between a function’s average and instantaneous rates of change? Give an…

A: For a function, the average value is found to be fb-fab-a where f lies in the interval a,b.…

Q: The population of a city doubles in 50 years. How many years will it be four times as much? Assume…

A:

Q: The instantaneous rate of change can never be zero. True False

A: The given statement, The instantaneous rate if change can never be zero, is False.

Q: Use the fact that the world population was 2560 million in 1950 and 3040 million in 1960 to model…

A: Modeling a given set of data in 2 variables is the process of finding the expression relating the…

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

A:

Q: Suppose that the quantities whose values are represented s and r are related by a constant rate of…

A: Sol: Given     1) S T     2)   57.2     3) -10.7 12.9     4) 2.7 -45.7     5) 7.1…

Q: Nigeria has a growth rate of 0.025 or 2.5%. Describe what this means?

A:

Q: A car purched for 12500 in 1995 was sold for 4900 in 2001. Find the average rate of change in value…

A: To determine the average rate of change.

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

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

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

A:

Q: considering that the rate of decay is proportional to the cube of the material

A: When a proportionality sign is removed the constant is applied with the equal sign.

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 humidity is currently 55% and falling at a rate of 4 percentage points per hour. (a) Estimate…

A:

Q: The population of a country doubles in 50 years. How many years will it be five times as much?…

A: We will find in how many year the population of country will be five times as shown below

Q: A car was valued at $32,000 in the year 1991. The value depreciated to $14,000 by the year 2005. A)…

A: The value of car is 32,000 in the year 1991 In 2005 the value of car is depreciated to 14000 Use the…

Q: Outside of the box question: The number of treated mosquitoes increased from 20 to 2000 within 8…

A: Rate of change of mosquitoes

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 growth rate of a culture of bacteria is proportional to the number of bacteria present and after…

A:

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

A:

Q: The population in the Philippines doubles in the last 30 years from 1956 to 1986. Assuming that the…

A: It can be solved using the given formula.

Q: According to one simplified model, the purchasing power of a dollar in the year 2000 + t is equal to…

A:

Q: What is the instantaneous rate of change?

A: Solution;-  Definition of Instantaneous rate of change:-

Q: The population of Oregon was about 3,831,000 in 2010 and about 3,970,000 in 2014. Find the average…

A: The population of Oregon was about 3,831,000 in 2010 and about 3,970,000 in 2014.  The average rate…

Q: a) Determine the average rate of change in the size of the crowd for each half hour of the rally. b)…

A: Solution:

Q: In 2015 the foreign debt of the Philippines is PhP2,070.2* billion. Last year, 2020 it was…

A:

Q: Define the term instantaneous rates of change?

A: Given: Define the term instantaneous rates of change?

Q: 3. The amount of pollution x miles downwind of an electrical plant is g (x) = 64x¬4 + 8x parts per…

A:

Q: Given the model y=3.2(2.4)^x, what is its rate of change?

A:

Q: Use a numerical example to explain the difference between the rate of change and the level of change…

A:

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: It started raining at 10:15 am, and by 12:10 pm the barrel had 7 inches of water in it. What was…

A:

Q: A sample of bacteria starts with 800 bacteria and doubles every month. a. Describe the input…

A: To find the input and output.

Q: The population of a country doubles in 50 years. How many years will it be five times as much?…

A: We can find the answer as below.

Q: find instantaneous rate of change at 75 seconds

A:

Q: Last week's production at Morton Manufacturing was 1,600 units. This week the factory produced 1,913…

A: Given, Last week's production = 1600 units Current week's production = 1913 units