If the recommended adult dosage for a drug is D (in Mg) then to determine the appropriate dosage c for child of age a pharmacists use the equation c=0.0417(a+1) suppose the dosage for an adult is 500mg
Find the slope
What does it represent
What is the dosage for a newborn
To find the slope of the equation, we need to determine the coefficient of the term "a" in the equation c = 0.0417(a+1).
The coefficient of "a" in the equation is 0.0417. Thus, the slope is 0.0417.
The slope represents the rate at which the dosage for a child changes with respect to their age. In this case, the slope of 0.0417 indicates that for every year increase in age, the dosage for a child increases by 0.0417 mg.
To find the dosage for a newborn, we need to substitute the age (a) as 0 into the equation c = 0.0417(a+1):
c = 0.0417(0+1)
c = 0.0417(1)
c = 0.0417 mg
Therefore, the dosage for a newborn is 0.0417 mg.
To find the slope of the equation c = 0.0417(a + 1), we need to determine the coefficient of the variable 'a'.
Comparing the equation to the slope-intercept form (y = mx + b), we can see that 'm' represents the slope. In this case, the coefficient of 'a' is the slope.
Therefore, the slope in this equation is 0.0417.
The slope represents the rate of change or the increase in dosage with respect to age. In this case, it indicates how the dosage varies as the age of the child increases.
To find the dosage for a newborn, you would substitute the age 'a' with the appropriate value. In this case, since a newborn represents age 0, you can substitute a = 0 into the equation:
c = 0.0417(a + 1)
c = 0.0417(0 + 1)
c = 0.0417(1)
c = 0.0417
Therefore, the dosage for a newborn would be approximately 0.0417 mg.