Growth Factor in Math

Introduction to growth factor in math:

Growth factor in math article deals with the definition of growth factor in math and the model problems related to growth factor.

Definition of growth factor in math:

Growth factor is defined, as the constant rate that is multiplied by it self over a certain period.the growth factor is always a positive number. Growth factor cannot be represented in percentage.

Formula to growth factor in math:

When the growth rate is given

Increase in value = P* G*T

P is the principle or original value.

G is the growth rate.

T is the period.
Growth factor is calculating by dividing the increased value by original value

Growth factor = `(("increased value")/("original value"))`

it is always positive value not the negative one.

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Model problems to growth factor in math:

Problem: 1

Find the growth factor of the original value $500 over a period of 7 years with the growth rate of 6%.

Solution:

The original value is $500

Period of time = 7 years

Growth rate is 6%

The increase value is `(500*7*(6/100))`

=(5*7*6)

= 210

The increased value is $710

Now we have to calculate the growth factor:

Growth factor = `(("increased value")/("original value"))`

= `(710/500)`

= 1.42

The growth factor is 1.42

Problem: 2

Find the growth factor of the original value $300 over a period of 9 years with the growth rate of 8%.

Solution:

The original value is $300

Period of time = 9 years

Growth rate is 8%

The increase value is `(300*9*(7/100))`

(3*9*7)

= 147

The increased value is $447

Now we have to calculate the growth factor:

Growth factor = `(("increased value")/("original value"))`

= `(447/300)`

= 1.49

The growth factor is 1.49

Problem: 3 find the growth factor of the numbers behind the numbers 12.5,50, 100, 200, 400.

Solution:

To find the growth, we have to divide the previous value by present value

(50/12.5) = 2
(100/50) =2
(200/ 100)= 2
(400/200)=2

Here the growth factors between the numbers are 2

the growth factor of the numbers is 2

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