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When a weed solution is added to a lawn, the number of weeds can be represented by the function W(d)=1650(.85)d where d is the number of days since application. By what percent does the population of weeds decrease each day?

Respuesta :

By 15% percent does the population of weeds decrease each day given that the function representing the number of weeds is W(d)=1650(0.85)^d. This can be obtained by using the function representing the exponential decay.

Find percent by which the population of weeds decrease each day:

Number of weeds is represented by the function,

W(d)=1650(0.85)^d

⇒ W(d)=1650(1 - 0.15)^d

Here, d = number of days since application

   

Function representing the exponential decay is,

⇒ A(r) = A(1 - r)^t

where,

A = Initial value

r = Percentage decay

t = duration

By comparing the given function and function representing the exponential decay,

r = 0.15 ≈ 15/100

Or r = 15%    

Therefore, population of weeds will decrease 15% each day.

Hence by 15% percent does the population of weeds decrease each day given that the function representing the number of weeds is W(d)=1650(0.85)^d.

Learn more about exponential decay here:

brainly.com/question/14355665

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