Question

Jillana takes a single dose of medication that remains in her body according to the equation r = 200(0.75)d, where r represents the amount of medication remaining after d days.

Answer 1

It is A r2=63.28(0.75)^d

Answer 2

Answer: The correct option is first.

Explanation:

It is given that if jillana had taken the medication two days early then medication remaining in her system relative to the amount that remains in her system after d days is defined using the equation,

$r_2=200(0.75)^{d+4}$

Using exponent rule $a^{m+n}=a^m+a^n$,

$r_2=200(0.75)^d(0.75)^4$

$r_2=200(0.75)^d(0.3164)$

$r_2=63.28(0.75)^d$

This equation is same as equation shown in option first, therefore the equivalent equation of $r_2=200(0.75)^{d+4}$ is $r_2=63.28(0.75)^d$.