Question

What is the multiplicative rate of change for the exponential function f(x) = 2(5/2)–x(to the negative X)?
A.0.4
B.0.6
C.1.5
D.2.5

Answer 1

Is this the function?
$$\Large f(x) = 2\left(\frac52 \right) ^{-x} $$

Answer 2

yeah

Answer 3

first lets make the exponent positive

Answer 4

$$\Large f(x) = 2\left(\frac52 \right) ^{-x} = 2 \left(\frac25 \right) ^{x}

$$
2/5 is the multiplicative rate of change, I think.

Answer 5

since 2 is being multiplied by 2/5, then (2/5)^2 , etc

Answer 6

what does 2/5 equal to in decimal?

Answer 7

0.4