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 multiplicative rate of change of the function?
The MRC (multiplicative rate of change) can be solved using this formula:
MRC = f(x2)/f(x1) / (x2 - x1)
If we use the coordinates (1,10) and (2,50),
MRC = 50/10 / (2-1) = 5
If we use the coordinates (2,50 and (3,250)
MRC = 250/50 / (3-2) = 5
The MRC will be the same since the function is an exponential function.
The multiplicative rate of change of the function f(x) = 2 5^x is 5
The function is given as:
f(x) = 2 5^x
The above function is an exponential function.
An exponential function is represented as:
f(x) = ab^x
Where b represents the multiplicative rate
By comparison;
b = 5
Hence, the multiplicative rate of change of the function is 5
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