Answer:
M(t) = 741·(1/2)^(t/5730)
Step-by-step explanation:
One way to write an exponential function is this:
value at time t = (initial value) · (multiplier over period)^(t/period)
Here, the initial value is given as 741 grams, and the time period is 5730 years. The multiplier over that period is 1/2, since half of the quantity remains after that time. The problem statement tells us that "value at time t" is M(t), so we have ...
M(t) = 741·(1/2)^(t/5730) . . . . . t in years; M(t) in grams
