Question

Greg made pudding every weekend. The more times he made pudding, the more practice he gained. The time he took to make the same amount of pudding every week decreased with practice. The function below shows the number of hours f(x) Greg took to make pudding after he had made it x times: f(x) = 2(0.8)x Which graph best represents the function? graph of function f of x equals 0.8 multiplied by 2 to the power of x graph of function f of x equals 0.8 to the power of x graph of function f of x equals 2 to the power of x function of f of x equal 2 multiplied by 0.8 to the power of x

Answer 1

After Greg makes the pudding 1 time, it takes him
`f(1)=2(0.8) ^(1)=1.6` hours to make it.

After Greg makes the pudding 2 times, it takes him
`f(2)=2(0.8) ^(2)=1.28` hours to make it

After Greg makes the pudding 2 times, it takes him
`f(3)=2(0.8) ^(3)=1.024` hours to make it

so The function is
`f(x)=2(0.8) ^(x)`

Answer: f of x equals 2 multiplied by 0.8 to the power of x