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Acetaminophen is a common pain reliever and fever reducer. Here is a graph showing the amount of acetaminophen, in milligrams, in an adult's body at different times after they take a normal dose. 1. What is the vertical intercept? What does it mean in this situation? 2. What fraction of the medicine remained after one hour? 3. Write an equation that represents the amount of medicine, a, after t hours.

Acetaminophen is a common pain reliever and fever reducer Here is a graph showing the amount of acetaminophen in milligrams in an adults body at different times class=

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Answer:

I don't know 1

2. 3/4

3. y= 1000(0.75)^x

Step-by-step explanation:

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According to the information depicted on the graph:

  • Vertical intercept = 1000

  • This is the initial Value of acetaminophen in the body just after taking the normal dose ; At time, t = 0

  • Fraction left after 1 hour = 0.75

  • Amount after t hours = [tex]y(t) = 1000(0.75)^{t}[/tex]

The vertical intercept is the value of the y - intercept, where the line crosses the y - axis. ; vertical intercept = 1000

The y - intercept is the amount of the drug in the body 0 minutes after taking it.

Fraction of drug left after one hour :

  • t(1) ÷ t(0) = 750 / 1000 = 3/4 = 0.75

Amount of medicine left after t hours :

  • Initial amount(rate of decrease)^time

[tex]y(t) = 1000(0.75)^{t}[/tex]

Hence, the function which models the graph is [tex]y(t) = 1000(0.75)^{t}[/tex]

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