Question

The correct dosage of adult over-the-counter medicine a child can receive is given by a formula by Clark. The child's weight, in pounds, is divided by $150$, and the result is multi pounds lied by the adult dose of the medicine. A mother need to give her daughter acetaminophen, which has an adult dose of $1000$ milligrams. She does not know her daughter's exact weight, but she knows the weight is and between $75$ and $90$pounds. Find the range of correct dosage, d, in milligrams of acetaminophen the daughter could receive.

• A. $50$
• B. $500$
• C. $1000$
• D. $1600$

Answer 1

The correct option is B $500$

According to the question to find the correct dosage ,

we start by calculating the least amount of dose the child needs.

given the weight is between $75$ and $90$ pounds.

Taking least, if child is $75$ pounds, then

using clark's rule $\frac{\text{Weight}}{150}\times \text{adult doze}=\text{correct dose}$

$\frac{75}{150}\times 1000=\frac{1}{2}\times 1000=500mg$

Option $\text{B}$ is correct