Question

step 2 when a linear function is written in the form y = mx + b, the slope is given by m. since c = 12.51a + 12.51 is a linear equation in this form, the slope of the graph of c is 12.51. the slope represents the change in mg of the dosage for a child for each change of 1 year in age. step 3 (b) what is the dosage for a newborn? as found in the previous part, the dosage c for a child of age a years is given by c = 12.51a + 12.51. for a newborn, a = \boxed{}. substituting this value into c, we have c = 12.51left(\boxed{}
ight) + 12.51 = \boxed{} mg.

Explanation:

Step1: Identify newborn's age

A newborn has an age \(a = 0\) years.

Step2: Substitute \(a=0\) into the formula

Substitute \(a=0\) into \(c = 12.51a + 12.51\):
\(c = 12.51(0) + 12.51\)

Step3: Calculate the dosage

Simplify the expression:
\(c = 0 + 12.51 = 12.51\)

Answer:

12.51 mg