(sorry i meant to put it under math not history)
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. (2 points)

Respuesta :

Answer:

a) Rate of change is 0.208

Rate of change is change in Y divided by the change in X. Let Y be the Dosage. Let X be the Weight.

Subtract first dosage from the second:

7.5 - 5 =2.5

Subtract the first weight from the second:

36 - 24 = 12

Now divide:

2.5 ÷ 12 = 0.208

b) It is linear. Instead of subtracting the first from the second, just subtract the second from third:

10 - 7.5 = 2.5

48 - 36 = 12

Or the third from the fourth

12.5 - 10 = 2.5

60 - 48 = 12

Or the fourth from the fifth

15 - 12-5 = 2.5

72 - 60 = 12

What do you notice? You get 2.5 and 12 for all of them, thus the relationship is linear.

explanation: i hope its ok