Question

When a weed solution is added to a lawn, the number of weeds can be represented by the function W(d)=1500(.75)^d where d is the number of days since application. By what percent does the population of weeds decrease each day

Answer 1

Number of weeds is represented by the function,

$W(d)=1500(0.75)^d$

$W(d)=1500(1-0.25)^d$ -------(1)

Here, $d=$ Number of days since application

Function representing the exponential decay is,

$A(t)=A(1-r)^t$ --------(2)

$A=$ Initial value

$r=$ Percentage decay

$t=$ duration

By comparing both the functions (1) and (2),

$r=$ 0.25 ≈ $\frac{25}{100}$

Or $r=$ 25%

Therefore, population of weeds will decrease 25% each day.

Learn more about exponential decay,

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