Find the exponential function that satisfies the given conditions

Question

Initial value=55, decreasing at a rate of 0.42% per week

Answer 1

A(t) = A₀*(1 - rate)^t  where:

• A(t) = the value of the function at week t
• A₀ = the initial value = 55
• rate = the rate the function is decreasing expressed as a decimal = 0.42% = 0.0042
• t = weeks

 

A(t) = A₀*(1 - rate)^t 

A(t) = 55*(1 - 0.0042)^t

A(t) = 55*(0.9958)^t