How to change the form of an exponential function. Can someone explain the process in which the function below T(t)=e^−0.0407409t+3.89467+26 is changed into this form. T(t)=49.1398e^−0.0407409t+26

perlejatyh8

perlejatyh8

Answered question

2022-11-05

How to change the form of an exponential function. Can someone explain the process in which the function below
T ( t ) = e 0.0407409 t + 3.89467 + 26
is changed into this form.
T ( t ) = 49.1398 e 0.0407409 t + 26

Answer & Explanation

Nigerkamg5

Nigerkamg5

Beginner2022-11-06Added 20 answers

Starting with
T ( t ) = e 0.0407409 t + 3.89467 + 26
we can use rules of exponents to rewrite the first term as
e 0.0407409 t e 3.89467 ,
and since
e 3.89467 49.1398
we can say that
T ( t ) 49.1398 e 0.0407409 t + 26.
Note that you really shouldn't say that
T ( t ) = 49.1398 e 0.0407409 t
because some rounding was done to go from e 3.89467 to 49.1398.

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