Question

The curve through the ordered pairs (0,10), (1,5), (2,2.5) can be represented by the function f(x)= 10(0.5)^x. What is the multiplicative rate of change of the function?

Answer 1

Answer:

0.5

Step-by-step explanation:

The function is represented as y = f(x) = $10(0.5)^{x}$

Now, it is clear from the function given above that, for x = 0,  y = f(x) = 10, and for x=1, f(x) = 5, and for x=2, f(x) = 2.5.

Therefore, the value of f(x) is multiplied each time by 0.5 for each unit increase in the value of x.

So, the multiplicative rate of change of the function is 0.5. (Answer)