Answer:
b = - 21
Step-by-step explanation:
calculate m using the gradient formula
m = ( y₂ - y₁ ) / ( x₂ - x₁ )
with (x₁, y₁ ) = (- 4, - 5) and (x₂, y₂ ) = (- 6, 3)
m = =
= - 4
y = - 4x + b ← is the partial equation
to find b substitute either of the 2 given points into the partial equation
using (- 4, - 5 ), then
- 5 = 16 + b ⇒ b = - 5 - 16 = - 21
Answer:
Y=3n+10
Step-by-step explanation:
Hello,
The first thing we should know is that this exercise is modeled by equating a straight line, which is Y = mx + b
where Y, is the value in milligrams of the patient's dose, b is the intercept with the Y axis and x is the number of hours that pass, and m is the slope, taking into account the above we infer the following equation
Y=mn+b
Now what we do is find every 2 points of the line using the problem data, in order to find the complete equation and the slope,
N1=0 Y1=10mg
N2=1 Y2=10mg+4mg=14mg
b is the value of Y when n = 0 therefore b = 10
Now we remember the equation of the slope
the ecuation is
Y=4n+10
Finally, the problem explains that the body loses 25% of the medication, therefore we multiply the equation by the 75% that remains in the body taking into account that the initial dose for N = 0 must be 10mg.
final ecuation
Y=3n+10
