The graphs below show four functions: graph a shows function f of x equals 5 multiplied by 2 to the power of negative x. graph b shows function f of x equals 5 multiplied by 2 to the power of x. graph c shows function f of x equals 10 to the power of x. graph d shows function f of x equals 10 to the power of negative x. which graph best shows the function f(x) = 5(2)−x to represent the rate at which a radioactive substance decays?

We are to find the graph which best represents the given function:

f (x) = 5 (2)^-x

To be able to solve this, let us write the function of each graph mathematically and select the correct one.

Graph A:

function f of x equals 5 multiplied by 2 to the power of negative x => f (x) = 5 (2)^-x

Graph B:

function f of x equals 5 multiplied by 2 to the power of x => f (x) = 5 (2)^x

Graph C:

function f of x equals 10 to the power of x => f (x) = 10^x

Graph D:

function f of x equals 10 to the power of negative x => f (x) = 10^-x

Therefore based on the mathematical interpretations above, only Graph A is similar to the given function. Hence the correct answer is:

Graph A

168

step-by-step explanation:

i am pretty sure that the answer is 168