Answer:
The function that models the scenario is given as follows;

Step-by-step explanation:
The table of values are presented as follows;
The number of days, t, since the rumor started: 0, 1, 2, 3, 4, 5
The number of people, P, hearing the rumor: 10, 16, 26, 42, 66, 100
Imputing the given functions from the options into Microsoft Excel, and 




solving using the given values of the variable, t, we have;
P                t               A                 B        C                      D
             C                      D
10         0
      0         10
     10         10
         10         10
          10         10
             10
16         1
      1         16.07021       16.27604      16.34583
      16.07021       16.27604      16.34583         16.38095
 16.38095
26         2
     2         25.43466      26.2797       26.574             26.72363
     25.43466      26.2797       26.574             26.72363
42         3
     3         39.33834      41.89929      42.82868         43.30901
     39.33834      41.89929      42.82868         43.30901
66         4
     4         58.85058      65.51853      68.09014         69.45316
     58.85058      65.51853      68.09014         69.45316
100         5
   5         84.17395        99.55866    106.0177          109.5721
     84.17395        99.55866    106.0177          109.5721
Therefore, by comparison, the function represented by  most accurately models the scenario.
 most accurately models the scenario.