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. If Jillana had taken the medication two days earlier, the amount of medication remaining in her system relative to the amount that remains in her system after d      days would be represented using the equation r2 = 200(0.75)d + 4. Which of the following is an equivalent equation?

Respuesta :

i looked at another online and it said letter A. (Not 100% sure)

The equivalent equation of [tex]r_2(d) = 200(0.75)^{d+4[/tex] is [tex]r_2(d) = 63.28125(0.75)^{d}[/tex]

How to determine the equivalent equation?

The equation is given as:

[tex]r_2(d) = 200(0.75)^{d+4[/tex]

We start by applying the product law of indices

[tex]r_2(d) = 200(0.75)^{d} * 0.75^4[/tex]

Evaluate the exponent

[tex]r_2(d) = 200(0.75)^{d} * 0.31640625[/tex]

Rewrite as:

[tex]r_2(d) = 0.31640625 * 200(0.75)^{d}[/tex]

Evaluate the product

[tex]r_2(d) = 63.28125(0.75)^{d}[/tex]

Hence, the equivalent equation of [tex]r_2(d) = 200(0.75)^{d+4[/tex] is [tex]r_2(d) = 63.28125(0.75)^{d}[/tex]

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