contestada

The expression below shows the population of butterflies in a forest after 4x years.

f(x) = 40(1.04)4x

Which of the following is an equivalent function?
a. f(x) = 40(4.1600)x
b. f(x) = 480(1.04)x
c. f(x) = 40(1.1699)x
d. f(x) = 480(4.1600)x

Respuesta :

phaeghe
The answer is C

Because: (1.04)^4 = 1.1699
carlosego
For this case we have the following exponential function:
 [tex] f (x) = 40 (1.04) ^ {4x} [/tex]
 By power properties we can rewrite this function.
 We have then that the equivalent expression is:
 [tex] f (x) = 40 ((1.04) ^ 4) ^ x [/tex]
 Rewriting we have:
 [tex] f (x) = 40 (1.1699) ^ x [/tex]
 Answer:
 the following is an equivalent function
 c. f (x) = 40 (1.1699) x

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