Q:

The graphs below show four functions:Which graph best shows the function f(x) = 5(2)−x to represent the rate at which a radioactive substance decays? (1 point)Graph BGraph CGraph DGraph A

Accepted Solution

A:
Answer: Graph AGraph A: function f of x equals 5 multiplied by 2 to the power of negative x => f (x) = 5 (2)^-xGraph B: function f of x equals 5 multiplied by 2 to the power of x => f (x) = 5 (2)^xGraph C: function f of x equals 10 to the power of x => f (x) = 10^xGraph 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