A fruit fly population of 24 flies is in a closed container. The number of flies grows exponentially, reaching 384 in 18 days. When the population grow to 48? Write an equation that models this scenario.

Q: Sarah invested $1,200 in an account in the year 1996, and the value has been growing exponentially…

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Q: Find the equation of the exponential function that goes through the points (0,2000) and (2,20).

A: Given:

Q: When Kelly got to biology class, she had 67 bacteria cells in her petri dish. The bacteria she is…

A: Given that, the girl has 67 bacteria at first. And she is observing that the bacteria doubles in…

Q: Determine whether the equation represents exponential growth, exponential decay, or neither.…

A: Exponentially decay

Q: The number of bats in a colony is growing exponentially. After 1 year, there were 130 bats. After 4…

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Q: After a large number of drinks, a person has a blood alcohol level of 140 mg/dL (milligrams per…

A: To calculate: the time for the person's blood alcohol level to decrease to 20 mg/dL Given:Initial…

Q: scientist finds that an intial bacteria count was 45 million and 5 hours later, the count was up to…

A: Please refer to the image below

Q: Use the exponential growth model, A = A0ekt, to solve, In 1980, the elderly U.S. population (65 and…

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Q: The value of a coin collection has increased by 3.25% annually over the last 20 years. Determine…

A: If the growth is exponential the quantity increases over time and the rate of change is constant…

Q: The equation y=5x+3 describes an exponential function. How is it related to the exponential function…

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Q: Carbon dating presumes that, as long as a plant or animal is alive, the proportion of its carbon…

A: topic - exponential function

Q: A radioactive substance decays exponentially. A scientist begins with 110 milligrams of a…

A:

Q: A boat purchased for $25,000 depreciates exponentially. After one year, the car is valued at…

A: Given that, A boat purchased for $25,000 depreciates exponentially. After one year, the car is…

Q: A boat purchased for $25,000 depreciates exponentially. After one year, the car is valued at…

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Q: In 2017, the population of a district was 20,800. With a continuous annual growth rate of…

A: Given: In 2017, the population of a district was 20,800. A continuous annual growth rate is of…

Q: To qualify for the interest-free loan, she must make monthly payments of $150 into an account that…

A: An exponential equation is an equation which consists the variable in powers. Like: 2x=4, in this…

Q: Find the exponential equation whose graph passes through the points (-3, 7) and (3,135) y =

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Q: Ava invested $470$470 in an account in the year 2000, and the value has been growing exponentially…

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Q: The amount of money in an account grows exponentially according to the function A(t)=A0ekt. If the…

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Q: Four months after it stops advertising, a manufacturing company notices that its sales have dropped…

A: given that,Four months after company stops advertising, a manufacturing company notices its sales…

Q: Each day, an investor deposits twice as much into the bank as she did the day before. Her initial…

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Q: The number of bats in a colony is growing exponentially. After 2 years, there were 120 bats. After 5…

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Q: The mass of a colony of bacteria increases in mass exponentially from 2 to 7 g in 5 hours. Determine…

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Q: An investment grows from $10,240 to $10,700.80 in one year. If the investment continues to grow at…

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Q: Samantha purchased a new car in 2010 for $16,200. The value of the car has been depreciating…

A: A car is purchased for $ 16,200 in 2010. Its value is depreciating exponentially at a constant rate.…

Q: Sales of portable MP3 players grew approximately exponentially from ​$0.05 billion in 1999 to ​$0.60…

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Q: Find the equation of an exponential function that goes through the following two points (0,8) and…

A: We have to find the equation of an exponential function that goes through the following two points…

Q: Once the initial publicity surrounding the release of the new book is over, the sales of the…

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Q: The original number of bacteria found present in a body was 160. Now, after a period of 9 hours, the…

A: The general exponential model is: y(t)=y0 ert where y(t) is the amount of bacteria present in the…

Q: A doctor prescribes 150 milligrams of a therapeutic drug that decays by about 25% each hour. Write…

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Q: Use the exponential growth model,A = A0ekt, to solve: In 1975, the population of Europe was 679…

A: a. Find an exponential growth function that models the data for 1975 through 2015.

Q: In​ 2000, the population of a city was 80,000. The population had grown to 127,000 by 2013. If the…

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Q: Find the exponential equation whose graph passes through the points (-3, 5) and (1,15) 27 y =

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Q: A fruit fly population of 24 flies is in a closed container. The number of flies grows…

A: The number of flies f(t) will be governed by the equation, f(t) = 24etτ, where τ is the time…

Q: The number of bats in a colony is growing exponentially. After 1 year, there were 70 bats. After 4…

A:

Q: Find the equation of the exponential function that goes through the points (0, 2000) and (2, 20).

A: First write exponential form Then pass through given points

Q: Find the exponential equation whose graph passes through the points (-2,) and (3,250) 25 y =

A: The exponential equation whose graph passes through the points -2,225 and (3,250).

Q: A petri dish currently has a population of 10 bacteria and the population doubles every year. Write…

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Q: A doctor prescribes 200 milligrams of a therapeutic drug that decays by about 25% each hour. Write…

A: A doctor prescribes 200 milligrams of a therapeutic drug that decays by about 25% each hour. To…

Q: The population in Littleton in 2010 was 45,300 people and is growing exponentially at a rate of 3%…

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Q: Which of the equations are TRUE based on the exponential function 2* = 8 ?

A: 2x=8Taking log of both sides with base 2, we have: log22x = log223x.log22 = 3.log22           (From…

Q: Sales of portable MP3 players grew approximately exponentially from ​$0.05 billion in 1999 to ​$0.60…

A:

Q: The population of the world in 1987 was approximately 5 billion and the annual growth rate was…

A: Given data: The population of the world in 1987 is P0=5 billion. The annual growth rate is…

Q: In certain soil conditions, the number of surviving larvae in the hatch of an insect called a…

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Q: The count in a bacteria cculture was 300 after 15 minutes and 1800 after 35 minutes. Assuming the…

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Q: A radioactive substance decays exponentially. A scientist begins with 180 milligrams of a…

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Q: Soon after taking an aspirin, a patient has absorbed 300 milligrams of the drug. After 2 hours, only…

A: Given that, at t=0 the value of the aspirin is 300 mg. It is known that, the formula for the…

Q: How do I tell if an equation is Exponential?

A: Question is based on exponential.

Q: In 1982, the number of Starbucks was 5 shops. It has exponentially grown by 21% yearly. Let t= the…

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Q: In​ 2000, the population of a city was 75,000. The population had grown to 108,000 by 2010. If the…

A: Let t= number of years after 2000So, for 2010 , t= 2010-2000=10And for 2024 , t= 2024-2000=24

Equations and Inequations

Equations and inequalities describe the relationship between two mathematical expressions.

Linear Functions

A linear function can just be a constant, or it can be the constant multiplied with the variable like x or y. If the variables are of the form, x2, x1/2 or y2 it is not linear. The exponent over the variables should always be 1.