SOLUTION: During surgery, a patient must have at least 40mg of antibiotic in his system. The amount of antibiotic present k hours after being given 100mg of this antibiotic is shown by y=100

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Question 410683: During surgery, a patient must have at least 40mg of antibiotic in his system. The amount of antibiotic present k hours after being given 100mg of this antibiotic is shown by y=100(.508)^k. After 1.3 hours, find the number of milligrams of antibiotic remaining in the patients system. (Round your answer to the nearest tenth)
Can someone please help me with this question. I dont really get it at all and I need help. Thank you!
Found 2 solutions by stanbon, ewatrrr:
Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
During surgery, a patient must have at least 40mg of antibiotic in his system. The amount of antibiotic present k hours after being given 100mg of this antibiotic is shown by y=100(.508)^k.
After 1.3 hours, find the number of milligrams of antibiotic remaining in the patients system. (Round your answer to the nearest tenth)
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y = 100(0.508)^1.3
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y = 100*0.4146
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y = 41.46 mg
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Cheers,
Stan H.
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Answer by ewatrrr(24785) About Me  (Show Source):
You can put this solution on YOUR website!


Hi

 y=100(.508)^k 

where y is The amount of antibiotic present k hours after being given 100mg of

 After 1.3 hrs...

 y = 100(.508)^1.3

 y =  41.5 mg remaining after 1.3hrs  (y rounded to the nearest tenth)