 # Exponential growth and decay questions and answers

Recent questions in Exponential growth and decay

### Y=10^x Maykyllah Jane Rojo 2022-03-23

### The population of a town increased by 2.54% per year from the beginning of 2000 to the beginning of 2010. The town's population at the beginning of 2000 was 74,860. mk14 2022-02-13

### Ms. Ragounath drove over a nail and the tire of her car started to leak air. If the car lost .4% of its air daily, when will her tire have three-quarters of its original air pressure which was 38 psi? Jayleen Sanders 2022-02-01 Answered

### Exponential Growth and Decay Exponential growth and decay problems follow the model given by the equation $A\left(t\right)=P{e}^{rt}$ -The model is a function of time t -A(t) is the amount we have ater time t -PIs the initial amount, because for t=0, notice how $A\left(0\right)=P{e}^{0×t}=P{e}^{0}=P$ -Tis the growth or decay rate. It is positive for growth and negative for decay Growth and decay problems can deal with money (interest compounded continuously), bacteria growth, radioactive decay. population growth etc. So A(t) can represent any of these depending on the problem. Practice The growth of a certain bactenia population can be modeled by the function $A\left(t\right)=900{e}^{0.0534}$ where A(t) is the number of bacteria and t represents the time in minutes. What is the number of bactenia ater 15 minutes? (round to the nearest whole number of bacteria.) Seamus Kent 2022-02-01 Answered

### Using the concept of exponential growth and exponential decay. Solve the given problem. 1. A small locality has a population of 52,365 in 2012. If its population increases 3% every 2 years, a. Derive a function P that determines the population t years after 2012. b. What is the expected population in 2020? Alvin Pugh 2022-02-01 Answered

### Give an example of an exponential function in the form $y=a×{b}^{x}$ that is neither an exponential growth function nor an exponential decay function. Explain your reasoning. Cameron Russell 2022-02-01 Answered

### Which characteristic of an exponential decay function does not belong with the other three? Explain your reasoning. base of 0.8 decay factor of 0.8 decay rate of 20% 80% decrease ndimiimpercea2 2022-02-01 Answered

### What is the asymptote of the graph of an exponential growth or exponential decay function? Explain your reasoning. spiderifilms6e 2022-02-01 Answered

### In 2011, the Population of China and India were approximately 1.34 and 1.19 billion people, respectively. However due to central control the annual population growth rate of China was 0.4% while the population of India was growing by 1.37% each year. if these growth rates remain constant. when will the population of India exceed that of China? blitzbabeiy 2022-01-31 Answered

### The equation $=y8000{\left(1.09\right)}^{x}$ describes the amount of an investment (in dollars) based on the number of years its Adrian Cervantes 2022-01-31 Answered

### Describe what the values of C and k represent in the exponential growth and decay model $y=C{e}^{kt}$. spiderifilms6e 2022-01-31 Answered

### An unknown radioactive element decays into non-radioactive substances. In 720 days the radioactivity of a sample decreases by 33 percent. (a) What is the half-life of the element? half-life:_____ (6) How long will it take for a sample of 100 mg to decay to 47 mg? time needed:____ blitzbabeiy 2022-01-31 Answered

### Determine whether each function represents exponential growth or decay. Write the base in terms of the rate of growth or decay, identify r, and interpret the rate of growth or decay $f\left(x\right)=12000{\left(\frac{7}{10}\right)}^{x}$ Octavio Miller 2022-01-31 Answered

### Given a continuous exponential growth model, say is it immediate that we have an exponential distribution? An example I have in mind is the division of cells: Assuming continuous division with exponential growth, do we automatically know that the probability of division between t=a and or is the exponential distribution of cell division an additional assumption one must impose? Anika Klein 2022-01-31 Answered

### How do we distinguish between exponential growth and exponential decay functions? meteraiqn 2022-01-30 Answered

### Solve the following problems involving exponential growth and decay. The half-life of carbon-14 1s approximately 6000 years. How much of 800 g of this substance will remain after 30,000 years? Turnseeuw 2022-01-30 Answered

### Exponential Growth and Decay Exponential growth and decay problems follow the model given by the equation $A\left(t\right)=P{e}^{rt}$ -The model is a function of time t -A(t) is the amount we have ater time t -PIs the initial amount, because for t=0, notice how $A\left(0\right)=P{e}^{0×t}=P{e}^{0}=P$ -Tis the growth or decay rate. It is positive for growth and negative for decay Growth and decay problems can deal with money (interest compounded continuously), bacteria growth, radioactive decay. population growth etc. So A(t) can represent any of these depending on the problem. Practice The growth of a certain bactenia population can be modeled by the function $A\left(t\right)=900{e}^{0.0534}$ where A(t) is the number of bacteria and t represents the time in minutes. How long will t take for the number of bacteria to double? (your answer must be accurate to at least 3 decimal places.)

Exponential growth and decay subject related to one of the more complex aspects of Algebra, which makes it relatively difficult for students to cope with it as it requires analysis and knowledge of the basics. Take your time to explore various exponential growth and decay practice answers below to refresh your memory and see some helpful examples.

The answers that you can see below must be linked to the questions to see the reasons why certain solutions have been provided. Remember that analysis will be helpful to see the correct approach!