As infants grow from a toddler to a young adult, there may be times when they are ill and medication is needed. It is extremely important that medication be administered in the exact dose so the child receives the correct amount. Too little or too much medication could have serious side effects. A popular children’s fever medicine manufacturer recommends the following dosage information to parents and pediatricians.

Children’s Fever Medicine
(given every 4–6 hours, as needed)
Weight
24+ lbs
36+ lbs
48+ lbs
60+ lbs
72+ lbs
Dosage
5 mL
7.5 mL
10 mL
12.5 mL
15 mL

a) Evaluate the data and find the rate of change from one age group to the next. Explain how you found the rate of change. (2 points)

b) Is the relationship between weight and the amount of medicine linear? Explain

The input is the weight.
The output is the dosage.
The rate of change is given by the change in the output divided by the change in the input.

From the table, when the weight changes by 12 lbs, the dosage changes by 2.5 mL, hence:

[tex]r = \frac{2.5}{12} = 0.2083[/tex]

The rate of change is of 0.2083 ml/lb.

Item b:

Linear functions have constant rate of change, hence, since the rate of change is constant(0.2083 ml/lb), the function is linear.

A similar problem is given at https://brainly.com/question/20732437