Question

Find the exponential function that satifies the given conditions: initial value = 62, decreasing at a rate of 0.47% per week.

Answer 1

Initial value of the population=62

Rate at which the population is decreasing=0.47%

Time = 1 week=7 day=168 hours

The formula for Decay is given by

$y= a (1-r)^{x}$ where r is rate at which population or any other thing which is decreasing and x is the time period, a is initial value.

$y= 62 (1-0.47)^{168}=62(0.53)^{168}$

y i.e value after 7 days=2.95623×$10^{-45}$