Question

How much of the drug is still in your body after 3 hours, according to the equation y = 100 * (3/4)^x, where x represents the number of hours after taking the drug and y represents the milligrams of the drug remaining in your body?

Answer 1

After 3 hours, 42.1875 milligrams of the drug calculated by the equation y = 100 \(3\/4\)^x would remain in the body.

Step-by-step explanation:

To find out how much of the drug is still in your body after 3 hours according to the equation y = 100 \(3\/4\)^x, where x represents the number of hours after taking the drug and y represents the milligrams of the drug remaining in your body, we simply need to substitute x with 3.

So we have y = 100 \(3\/4\)^3.

First, calculate \(3\/4\)^3: \(3\/4\) \(3\/4\) \(3\/4\) = 0.421875.

Then multiply this value by 100 to find y: 100 \* 0.421875 = 42.1875.

Therefore, 42.1875 milligrams of the drug remain in the body after 3 hours.