1. In the function, A(t)=4(1/2)^1/5t
A(t) represents the:

initial amount of the substance

growth factor

number of times to complete a cycle

amount of the substance present at time t

2. In the function, M(t)=8(2)^1/6t
6 represents the:

initial amount of the substance

growth factor

number of times to complete a cycle

amount of the substance present at time t

Question

1. In the function, A(t)=4(1/2)^1/5t
A(t) represents the:

initial amount of the substance

growth factor

number of times to complete a cycle

amount of the substance present at time t 


2. In the function, M(t)=8(2)^1/6t 
6 represents the:

initial amount of the substance

growth factor

number of times to complete a cycle

amount of the substance present at time t

anonymous · Answer

http://openstudy.com/study#/updates/51606783e4b0c2e4606f7e2b

anonymous · Answer

Did that help? it appears there is two of you working on this

anonymous · Answer

Not really :(

anonymous · Answer

I think I'm a bit more behind than she is

anonymous · Answer

at an initial amount what is the time?

anonymous · Answer

amount of the substance present at time t ?

anonymous · Answer

alright i'll use the same analogy. If you had 3 gummy bears at first before doing anything (meaning the time was 0) and then you gave 2 gummy bears an hour later (t=1), what is another name for when you had 3 gummy bears

anonymous · Answer

Initial time

anonymous · Answer

yes that would be the initial time but what would the gummy bears be

anonymous · Answer

initial amount

anonymous · Answer

yes so if A(t)= is the amount at time t, then A(0) will give you the initial amount of substance correct?

anonymous · Answer

so if you plug in t=0 to the equation then what do you get for an answer

anonymous · Answer

0?

anonymous · Answer

$$A(0)=4(\frac{1}{2})^{\frac{1}{5}*0}=4(\frac{1}{2})^0$$

what is anything to the zero power

anonymous · Answer

$$(\frac{1}{2})^0=?$$

anonymous · Answer

1?

anonymous · Answer

yes so if that part is one then it's

$$A(0)=4*1=4$$

anonymous · Answer

so it's saying that the amount at t =0 is 4, which just so happens to be what is in your function.

anonymous · Answer

so what does that mean that 4 is within the equation

anonymous · Answer

oops i'm sorry  i thought they were the same question... but i gave you the answer for the first question

A(t) is read as a "Function of time" , Amount of someting is a function therefore Amount of substance in terms of time

anonymous · Answer

or A(t) is the amount of substance at time t

anonymous · Answer

In that case would the second question be number of times to complete a cycle?

anonymous · Answer

for question two, is that suppose to be what does 1/6 mean

anonymous · Answer

yes i believe so

anonymous · Answer

Thanks