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Ava is taking a prescription drug for a illness she has. The drug
decays at a rate of 25% per hour. If the initial dose is 250 mg. It
is not safe to drive until there is only 50 mg left in a person's
system. Will it be safe for Ava to drive in 3 hours? Write either
Yes or No. Use the equation:
A = P(1 - r)
Where A represents the current amount of the drug, P
represents the initial amount of the drug, r represents the
growth or decay rate (expressed as a decimal), and t
represents the time in hours.

Respuesta :

raphealnwobi

After 3 hours the remaining drug remaining in the persons system is 105.5 mg. Hence it is safe for Ama to drive.

Exponential equation

An exponential equation is in the form:

y = abˣ

where y, x are variables, m is the multiplier and a is the initial value of y.

Let A represents the current amount of the drug, P  represents the initial amount of the drug, r represents the  growth or decay rate (expressed as a decimal), and t  represents the time in hours. Hence:

  • [tex]A = P(1 - r)^t\\[/tex]

[tex]A=250(1-0.25)^t=250(0.75)^t\\\\At\ t=3\ hours:\\\\A=250(0.75)^3=105.5\ mg[/tex]

After 3 hours the remaining drug remaining in the persons system is 105.5 mg. Hence it is safe for Ama to drive.

Find out more on exponential equation at: https://brainly.com/question/13765928

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