Answer:
Step-by-step explanation:
1). Vertical intercept of the graph = Point at which the graph intersects the y-axis.
Therefore, vertical intercept is y = 1000.
In this situation vertical intercept means the initial dose of the drug taken = 1000 mg.
2). From the graph attached, point (x, y) represents,
x = Time 't' or duration
y = concentration of the drug after time 't'
Point (0, 1000) represents concentration = 1000 mg of the drug after t = 0 hour
Similarly, (1, 750) represents concentration = 750 mg after t = 1 hour
Therefore, fraction of drug remained = [tex]\frac{750}{1000}[/tex]
= [tex]\frac{3}{4}[/tex]
3). Let the equation, representing the concentration of the drug and time is,
[tex]y=a(b)^t[/tex]
Here, a = Initial amount of the drug (at t = 0 hours)
= 1000 mg
At (t = 1 hours), concentration of the drug = 750 mg
[tex]y=1000(b)^t[/tex]
[tex]750=1000(b)^1[/tex]
[tex]b=\frac{750}{1000}[/tex]
[tex]b=\frac{3}{4}[/tex]
Therefore, equation will be,
[tex]y=1000(\frac{3}{4})^t[/tex]