Find an exponential model for the data with variable M corresponding to remaining mass (in grams) and t corresponding to time (in minutes).
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In order to determine its rate of decay, 1 gram of an unknown radioactive isotope was placed in a container. The amount remaining was measured at 1-minute intervals and recorded in the table below.
Time (in minutes) | Grams remaining |
0 | 1.000 |
1 | 0.956 |
2 | 0.914 |
3 | 0.874 |
4 | 0.835 |
5 | 0.799 |
Find an exponential model for the data with variable M corresponding to remaining mass (in grams) and t corresponding to time (in minutes).
a) M = 1 × 95.600^t
b) M = 0.956 x 1^t
c) M =1 x 0.956^t
d) M = 95.600 x 1^t
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