A student is trying to determine the half-life of radioactive iodine-131. He measures the amount, A, of iodine-131in a sample every 8hours. His data are shown in the table.
Time(h)
0
8
16
24
32
40
48
Amount (G)
7.74
7.56
7.31
7.06
6.86
6.73
6.55
(a)Find an appropriate exponential model of the data points.
Amount at t, A(t)=____________
(b)Find the half-life of iodine-131 according to the exponential model in part
Half-life, t=___________.
Thank you!