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Fred started studying how the number of branches on his tree grows over time. The relationship between the labs time t in years since Fred started studying the tree in the number of its branches B year(t), is modeled by the following function:

Byear(t)=20•(2.5)^t

Complete the following sentence about the monthly rate of change in the number of branches. Round your answer to two decimal places.

Every month the number of branches increases by a factor of ________.

Fred started studying how the number of branches on his tree grows over time The relationship between the labs time t in years since Fred started studying the t class=

Respuesta :

Answer:

1.08

Step-by-step explanation:

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Every month the number of branches increases by factor 1.08.

Equation for growing branches is given Byear(t)=20•(2.5)^t.
Conversation of this equation from year to month to be determine.

What is factors?

Factors can be define splitting the value in multipliable values.


Here,
1 year = 12 months
1 month = 1/12 years
t months = t/12 years

substitute t/12 in place of t,
Equation will transformed to.
Bmonth(t)=20•(2.5)^t/12.
                = 20.(2.5^1/12)^t
                = 20(1.08)^t

Thus, the new factor by which branches increases is 1.08.

Learn more about factors here:
https://brainly.com/question/24182713

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