Answer:
57
Step-by-step explanation:
did it on a calculator rounding its 57
The number of students will be sick after 6 days are 57.
It is the pattern of growth that increases with at a passage of time.
Mathematically, if f(x) is a growth function, a is the initial time,r is the growth rate and n is number of intervals then
f(x) = a (1 + r)ⁿ
Let x be the total number of students.
It is given that initial number of sick students,
⇒ a = 15
and it is said that 25% of sick students increased everyday
⇒ r = 25% = 0.25
Number of students sick after days = 6
⇒ t = 6
Now after 6 days, students will be sick-
f(x) = a (1 + r)ⁿ
⇒ f(x) = 15 (1 + 0.25)⁶
⇒ f(x) = 15 (1.25)⁶
⇒ f(x) = 15 x 3.81
⇒ f(x) = 57.22
⇒ f(x) ≈ 57
∴The number of students will be sick after 6 days are 57.
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