Question

find the exponential function that satisfies the given conditions:
initial mass 117g, halving once every 262 hours

Answer 1

As we know, exponential function is in the form ab^x

a=f(0). f(0)=117, hence a=117
b=1/2
But you have to change the x, or I'll call it t for time, to t/262, because it halves once every 262 hours. So if it is 524 hours, it will halve twice. But it will not halve twice in 2 hours.