Question

(a) find the slope of the graph of c. what does it represent? we are given d = 300. substitute 300 for d in the equation c = 0.0417(300)(a + 1). after simplifying, we get = (12.51) a + 12.51 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. the slope represents the ---select--- change in mg total amount the dosage for a child for each change of 1 year in age.

Explanation:

Step1: Identify linear form

The simplified equation is $c = 12.51a + 12.51$, which matches $y=mx+b$.

Step2: Extract slope value

In $y=mx+b$, $m$ is the slope. Here $m=12.51$.

Step3: Interpret the slope

The slope is the change in $c$ (dosage) per 1-unit change in $a$ (age).

Answer:

The slope of the graph of $c$ is $12.51$, and it represents the change in mg of the child's dosage for each 1-year increase in age.