Ask question

# Tell whether the function represents exponential growth or decay. z(x)=47(0.55)^x

Question
Exponential growth and decay
asked 2021-01-06
Tell whether the function represents exponential growth or decay. z(x)=47(0.55)^x

## Answers (1)

2021-01-07
The given function is: $$\displaystyle{z}{\left({x}\right)}={47}{\left({0.55}\right)}^{{x}}$$
Is in the form: $$\displaystyle{y}={a}{\left({b}\right)}^{{x}}$$
Since b=0.55
Then the function represents exponential decay.

### Relevant Questions

asked 2021-05-29
Determine whether each function represents exponential growth or exponential decay. Identify the percent rate of change.
$$\displaystyle{g{{\left({t}\right)}}}={2}{\left({\frac{{{5}}}{{{4}}}}\right)}^{{t}}$$
asked 2020-12-12

Tell whether the function represents exponential growth or exponential decay. Then graph the function. $$f(x)=(1.5)^{x}$$

asked 2021-05-08
Write an exponential growth or decay function to model each situation. Then find the value of the function after the given amount of time. A new car is worth \$25,000, and its value decreases by 15% each year; 6 years.
asked 2021-03-06

Determine whether each equation represents exponential growth or exponential decay. Find the rate of increase or decrease for each model. Graph each equation. $$y=5^x$$

asked 2021-05-01

Determine whether the function represents exponential growth or exponential decay. Identify the percent rate of change. Then graph the function. $$y=5^x$$

asked 2021-02-24
Tell whether the function represents exponential growth or decay. b(x)=13(0.7)^x
asked 2020-10-18
Tell whether the function represents exponential growth or decay. w(x)=0.72⋅2^x
asked 2021-02-05
Tell whether the function represents exponential growth or decay. h(x)=2.5(0.8)^x
asked 2020-11-01
Tell whether the function represents exponential growth or decay. $$\displaystyle{k}{\left({x}\right)}={22}{\left({0.15}\right)}^{{x}}$$
asked 2021-01-05
Graph each function and tell whether it represents exponential growth, exponential decay, or neither.
$$\displaystyle{y}={80}{\left({0.25}\right)}^{{{x}}}$$
...