The population of a town is modelled by P(t)= 6t +110t +3000 , where P is the population and t is the number of years since 1990. Find the average rate of change in population between 1995 and 2005.

Q: In 2012, 34.1% of all glass containers were recycled. A beverage company used 250,000 lb of glass…

A:

Q: According to the Association of American Railroads, Class I freight railroads are the line-haul…

A: The average rate of change per year in F from 2005 to 2007 is $4.2 billion/year.

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

A:

Q: Suppose that the boy’s weight was increasing at the rate of 7 kilograms per year and his height was…

A: We know that, BMI=Bodyweight in kilogramHeight in meters2⇒B=wh2

Q: Ahmed is skiing down a steep hill. Ahmed’s elevation, E(t), in feet after t seconds is given by…

A:

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

A: For example, consider

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: The number of automobiles in a certain small town was 1,525 in 2013, and it was 1,850 in 2018. What…

A: Rate of change of a function f(x) in (a,b) is give by Rate of change =fb-fab-a

Q: The revenue, in dollars, of a toy shop is modeled using R(x) = 200x - 5x² for x months after its…

A:

Q: Lake Bigfishee was stocked with bass in 2010. If f ( t ) = 2300 ( 1.17 ) tmodels the bass population…

A: Given  f(t) =2300 ( 1.17 )t

Q: The water level in a lake has changed by 16.8 feet over the last 2.1 years. What is the average rate…

A: Average question

Q: The population of a city increased from 23,400 to 28,800 between 2016 and 2020. Find the rate of…

A: The objective of this question is to find the rate of change of the population of a city between the…

Q: According to the Association of American Railroads, Class I freight railroads are the line-haul…

A:

Q: why would one need to use the instantaneous rate of change instead of the average rate of change

A: The average rate of change is the total change of one variable divided by total change of the other…

Q: The Rule of 70 says that the time necessary for an investment to double in value is approximately…

A:

Q: Use combining functions and rates of change to solve:

A: The function f(x) is a rule that associates or fixes a number to the particular point x. If y=f(x),…

Differential Equations

Have you ever observed the movement of the satellites and rockets or how the planets go around the sun in their orbits? How will you determine their motion? Definitely they follow some scientific laws and these kinds of problems are framed as differential equations.