What is each function to the correct growth

hickmanb1405

hickmanb1405

Answered question

2022-09-28

Solve each function to the correct growth or decay factor.

 y=0.3(0.5)^(x)

y=800(1.15)^(x)

y=2000(4/5)^(x)

y=3(0.85)^(x)

y=1200(1.05)^(x)

 

Answer & Explanation

Mr Solver

Mr Solver

Skilled2023-05-25Added 147 answers

To find the growth or decay factor for each function, we need to examine the base of the exponential term. The general form of an exponential function is given by:
y=a·bx
where 'a' represents the initial value or starting point, 'b' represents the growth or decay factor, and 'x' represents the exponent.
Let's solve each function to determine the correct growth or decay factor:
1. y=0.3·(0.5)x
In this function, the base is 0.5, which is less than 1. Therefore, it represents decay. The growth or decay factor is the base 'b':
b=0.5
2. y=800·(1.15)x
Here, the base is 1.15, which is greater than 1. Thus, it represents growth. The growth or decay factor is the base 'b':
b=1.15
3. y=2000·(45)x
The base in this function is 4/5, which is less than 1. Hence, it represents decay. The growth or decay factor is the base 'b':
b=45
4. y=3·(0.85)x
In this case, the base is 0.85, which is less than 1. Thus, it represents decay. The growth or decay factor is the base 'b':
b=0.85
5. y=1200·(1.05)x
Here, the base is 1.05, which is greater than 1. Therefore, it represents growth. The growth or decay factor is the base 'b':
b=1.05
By determining the growth or decay factor for each function, we can understand the nature of the exponential growth or decay involved in the given expressions.

Do you have a similar question?

Recalculate according to your conditions!

Ask your question.
Get an expert answer.

Let our experts help you. Answer in as fast as 15 minutes.

Didn't find what you were looking for?