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Ilia_Sergeevich [38]
3 years ago
9

30 points will give brainliest if correct Please Answer an industrial copy machine

Mathematics
2 answers:
marissa [1.9K]3 years ago
7 0

Answer:

f(x) = 16 * ( 3/4) ^x

Step-by-step explanation:

y = a ( b) ^x

where a is the initial value and b is the growth rate

We know when x =0 y = 16

and when x = 1 y = 12

16 = a * b^0

16 = a * 1

a = 16

So the initial value is 16

12 = 16 * b^ 1

Divide each side by 16

12/16 = b^1

3/4 = b

y = 16 * ( 3/4) ^x

victus00 [196]3 years ago
4 0

<em>Greetings from Brasil...</em>

In the statement are given 2 moments:

X = 0 ⇒ F(0) = 16

and

X = 1 ⇒ F(1) = 12

F(X) = a . bˣ

F(0) = a . b⁰

16 = a . 1

a = 16

F(X) = a . bˣ

F(1) = a . b¹         <em>a=16  calculated above</em>

12 = 16 . b

b = 12/16

b = 3/4 = 0,75

so,

<h3>F(X) = 16 . (3/4)ˣ</h3>

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