Elizabeth is a nurse, and she just administered 1.8 milliliters of medication to one of her patients. Elizabeth knows that the amount of medication remaining in the patient's body will decrease by a factor of $\frac{1}{3}$ each hour.
Write an exponential equation in the form $y=a(b)^{x}$ that can model the amount of medication, $y$, remaining in the patient's body after $x$ hours.
Use whole numbers, decimals, or simplified fractions for the values of $a$ and $b$.
\[
y=
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Submit
Work it out
Final Answer: $\boxed{y=1.8\left(\frac{1}{3}\right)^{x}}$
Step 1 :Elizabeth is a nurse, and she just administered 1.8 milliliters of medication to one of her patients. Elizabeth knows that the amount of medication remaining in the patient's body will decrease by a factor of $\frac{1}{3}$ each hour.
Step 2 :Write an exponential equation in the form $y=a(b)^{x}$ that can model the amount of medication, $y$, remaining in the patient's body after $x$ hours.
Step 3 :Use whole numbers, decimals, or simplified fractions for the values of $a$ and $b$.
Step 4 :Final Answer: $\boxed{y=1.8\left(\frac{1}{3}\right)^{x}}$