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xxTIMURxx [149]
3 years ago
11

Is that right? im trying to get a really good score

Mathematics
1 answer:
Lilit [14]3 years ago
4 0

Your answer is correct I have calculated it in my head

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The table represents an exponential function.
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The exponential function is given in the form

y= a (b)^{x}

where a is the initial value and b is the multiplicative rate of change

So lets plug the first two values of the table in this function , we get

2= a(b)^1

or

2= ab............................(eqn 1)

Now plug second

2/5 = a(b)^2 .............................( eqn2)

Divide equation 2 by equation 1

\frac{2=ab}{\frac{2}{5}=ab^2}

On simplifying we get

5= \frac{1}{b}

or

b=\frac{1}{5}

So the multiplicative rate of change of the function is

a) \frac{1}{5}

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