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7.Suppose that water is entering a cylindrical water tank so that the initial height of the water is 3 cm and the
height of the water doubles every 30 seconds. Write an equation of the height of the water at time ???????? seconds.

Respuesta :

IthaloAbreu

Answer:

[tex]H(t) = 3*2^{t/30}[/tex]

Step-by-step explanation:

Height doubles at every 30 seconds, so let's call n how many times it happens, and the t the total time:

n = t/30

If the height doubles one time, it is multiplied by 2, if it doubles 2 times, it's multiplied by 2², for n times, it is multiplied by 2ⁿ, so for an initial height equal to 3:

[tex]H(t) = 3*2^{t/30}[/tex]