Please show ALL YOUR WORK and how u came to the conclusion.

A

Step-by-step explanation:

clearly, the equation has to allow t=0, and for that point we need to get 100% (of carbon-14) as result.

and so we also see, that the function calculates the % of the remaining carbon-14.

so, we need the desired outcome 60(%),

because 60 = 100 - 40.

and again, we need a function that shows t=0.

the only answer option fulfilling both criteria is A.

B divides in the exponent by t, so t=0 is not in the domain of the function.

and C and D aim for the wrong remaining percentage.

this doesn't make sense lol

answer: all the values are within because it has a pattern that repeats from -6 to 4.

good luck!