college finite math

Cowling's Rule is a method for calculating pediatric drug dosages. If a denotes the adult dosage (in milligrams) and if t is the child's age (in years), then the child's dosage is given by

D(t) = (t + 1/24)a

(a) Show that D is a linear function of t.
Hint: Think of D(t) as having the form
D(t) = mt + b.
What are the slope m and the y-intercept b?
m = ______

b = ______

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