# Exponential growth and decay questions and answers

Recent questions in Exponential growth and decay
Exponential growth and decay

### Tell whether the function represents exponential growth or exponential decay. $$f(x)=5(2)^{-x}$$

Exponential growth and decay

### Identify the function as exponential growth or exponential decay.Then identify the growth or decay factor. $$y=7⋅0.32^x$$

Exponential growth and decay

### Tell whether each function represents exponential growth, exponential decay, or neither. Justify your responses. $$\begin{array}{}x&0&2&4&6\\y&1&9&81&729 \end{array}$$

Exponential growth and decay

### State whether the equation represents exponential growth, exponential decay, or neither. $$y=0.82⋅3^x$$

Exponential growth and decay

### Determine whether the function represents exponential growth or exponential decay. Then identify the percent rate of change. $$\displaystyle f{{\left({t}\right)}}={200}{\left(\frac{4}{{3}}\right)}^{t}$$

Exponential growth and decay

### When does the function y=abx represent exponential growth? exponential decay?

Exponential growth and decay

### Determine whether the function represents exponential growth or exponential decay. Identify the percent rate of change. f(t)=6(0.84)^t

Exponential growth and decay

### Determine whether the function represents exponential growth or exponential decay. Identify the percent rate of change. $$\displaystyle{f{{\left({t}\right)}}}={80}{\left(\frac{{3}}{{5}}\right)}^{{t}}$$

Exponential growth and decay

### Determine whether these statements are true or false a) $$\varnothing\in\{\varnothing\}$$ b) $$\varnothing\in\{\varnothing,\{\varnothing\}\}$$ c) $$\{\varnothing\}\in\{\varnothing\}$$ d) $$\{\varnothing\}\in\{\{\varnothing\}\}$$ e) $$\{\varnothing\}\subset\{\varnothing,\{\varnothing\}\}$$ f) $$\{\{\varnothing\}\}\subset\{\varnothing,\{\varnothing\}\}$$ g) $$\{\{\varnothing\}\}\subset\{\{\varnothing\},\{\varnothing\}\}$$

Exponential growth and decay

### The count in a bacteria culture was 200 after 15 minutes and 1600 after 30 minutes. Assuming the count grows exponentially, what was the initial size of the culture? What was the doubling period?

Exponential growth and decay

### A fruit fly population of 24 flies is in a closed container. The number of flies grows exponentially, reaching 384 in 18 days. Find the doubling time (time for the population to double) and write an equation that models this scenario.

Exponential growth and decay

### In how many different orders can five runners finish a race if no ties are allowed?

Exponential growth and decay

### Exponential Growth and Decay Worksheet 1. $$\displaystyle{y}={55}-{\left({1}-{0.02}\right)}'$$ a) Does this function represent exponential growth or exponential decay? b) What is your initial value? c) What is the rate of growth or rate of decay? 2. $$\displaystyle{y}={5575}\times{\left({0.65}\right)}'$$ a) Does this function represent exponential growth or exponential decay? b) What is your initial value? c) What is the rate of growth or rate of decay? 3. $$\displaystyle{y}={14000}\times{\left({0.92}\right)}'$$ a) Does this function represent exponential growth or exponential decay? b) What is your initial value? c) What is the rate of growth or rate of decay?

Exponential growth and decay

### A table for a function f is given to the right. ​(a) Determine whether function f represents exponential​ growth, exponential​ decay, or linear growth. ​(b) Find a formula for f.

Exponential growth and decay

### The function $$\displaystyle{A}={7.7}{\left({0.92}\right)}^{{t}}$$ represents an exponential growth or decay function. A. Does the function P represent exponential growth or decay? B. What is the initial quantity? C. What is the growth or decay factor? a. Exponential Growth. B. The initial quantity is 7.7. C. The growth or decay factor is 0.92 b. Exponential Decay. B. The initial quantity is 7.7. C. The growth or decay facotor is 1.08 c. Exponential Growth. B. The initial quantity is 0.92. C. The growth or decay factor is 1.08 d. . Exponential Decay. B. The initial quantity is 7.7. C. The growth or decay factor is 0.92 e. None of these

Exponential growth and decay

### Determine whether the function represents exponential growth or decay, Write the base in terms of the rate of growth or decay, identify R, and interpret the date of growth or decay. For the function $$\displaystyle{y}={150}{x}{3.2}^{{x}}$$

Exponential growth and decay

### Determine if it represents exponential growth or exponential decay.

Exponential growth and decay

### State whether each statement is true or false and briefly explain why. If the statement is false, try to “fix it” by modifying the given statement to a new statement that is true. For exponential growth and decay, the rate of change is constant.

Exponential growth and decay

### Exponential growth or exponential decay function ?

Exponential growth and decay