You coordinate volunteers for litter cleanup in local parks. Your spreadsheet lists drivers
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Answer:
Each hour, the concentration of the medicine reduces by 4%.
Step-by-step explanation:
The link between the time passed, t, in minutes, post-ingestion, and the concentration in the bloodstream, C (t), follows this formula:
The decay function is represented as:
Where:
y = final quantity
a = initial quantity
r = decay percentage
t = time
From the given equation, the decay percentage is:
Consequently, each hour, the concentration of the medicine diminishes by 4%.
The vertex form of a parabola with coordinates (h, k) is expressed as
y=a(x-h)²+k.
Here, the vertex is positioned at (0,0).
This simplifies to y=a(x-0)²+0, or y=a(x)², leading to y=ax².
Next, we need to determine the value of a.
Observing a specific point (14,-74), we have x=14 and y=-74.
This gives us the equation -74=a(14²).
Thus, we arrive at -74=196a.
Dividing each side by 196 results in a=-37/98.
Therefore, the equation is
y=a(x-h)²+k.
Here, the vertex is positioned at (0,0).
This simplifies to y=a(x-0)²+0, or y=a(x)², leading to y=ax².
Next, we need to determine the value of a.
Observing a specific point (14,-74), we have x=14 and y=-74.
This gives us the equation -74=a(14²).
Thus, we arrive at -74=196a.
Dividing each side by 196 results in a=-37/98.
Therefore, the equation is