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raketka [301]
2 years ago
7

The function f(x) = 2 • 5x can be used to represent the curve through the points (1, 10), (2, 50), and (3, 250). What is the mul

tiplicative rate of change of the function?
Mathematics
2 answers:
Free_Kalibri [48]2 years ago
8 0
F'x= d (2.5x)/dx
= 2.5x. ln5 ( rate of change)
Sedaia [141]2 years ago
5 0
<h2>Answer:</h2>

The multiplicative rate of change of the function is:

                                5

<h2>Step-by-step explanation:</h2>

We are given a function f(x) in terms of the variable x as:

       f(x)=2\cdot 5^x

The function passes through:

                 (1, 10), (2, 50), and (3, 250).

We know that the multiplicative rate of change of the exponential function :

          f(x)=ab^x

is b.

Here we have:   a=2 and b=5

(i.e. there is a multiplication by a fixed number i.e. 5 as compared to the preceding value )

  Hence, the multiplicative rate of change is:

                             5

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Whoa just a second there.

What is the question ?

Is the question "Find the percent of increase ?"

In that case, the answer is 300% .
Here's why:

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The amount of increase as a fraction of
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______________________________

The question could have been different.

It could have been "What is the amount of the increase ?"
That's 75.

It could have been "How many times larger is 100 than 25 ?"
100 is 4 times as large as 25, and 3 times larger.

It could have been "How many times has 25 been increased ?"
This is a terrible question ... there are a lot of those in schools.
The answer could be "25 was only increased once, by 75."
The answer could be "25 was increased to 4 times its size."
The answer could be "25 was increased by 3 times its size." 
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