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Vika [28.1K]
3 years ago
13

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
1 answer:
Oksana_A [137]3 years ago
7 0
For this case we have a function of the form:
 f (x) = 2 * 5 ^ x

 We will evaluate the function for different values of x:

 For x = 1:
 
f (1) = 2 * 5 ^ 1 = 2 * 5 = 10


 For x = 2:
 
f (2) = 2 * 5 ^ 2 = 2 * 25 = 50


 For x = 3:
 
f (3) = 2 * 5 ^ 3 = 2 * 125 = 250


 We note that for each value of x, the function is 5 times greater than the previous value.
 
 Answer:
 
The multiplicative rate of change of the function is:
 
5
 
The function is 5 times greater for each value of x.
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