Using the logarithmic function, it is found that:
a) The initial score is of 92.
b) After 6 months, the score is of 88.6.
c) After 18 months, the score is of 86.9.
The average score after t months is modeled by:
[tex]f(t) = 92 - 4\log{(t + 1)}[/tex]
Item a:
The initial score is of f(0), hence:
[tex]f(0) = 92 - 4\log{1} = 92 - 0 = 92[/tex]
The initial score is of 92.
Item b:
After 6 months, the score is of f(6), hence:
[tex]f(6) = 92 - 4\log{7} = 88.6[/tex]
After 6 months, the score is of 88.6.
Item c:
After 18 months, the score is of f(18), hence:
[tex]f(6) = 92 - 4\log{19} = 86.9[/tex]
After 18 months, the score is of 86.9.
A similar problem is given at https://brainly.com/question/24286043
