Question

many medications are determined by the weight of the patient in kilograms. when a patients weight is measured in pounds, the doctor must then convert the weight to kilograms. the table shows conversions for common units of weight.

what is jamals weight in kilograms if he weighs 156 pounds? round to the nearest tenth if necessary.

jamal weighs 34.7 kilograms.
jamal weighs 70.2 kilograms.
jamal weighs 155.6 kilograms.
jamal weighs 346.7 kilograms.

Explanation:

Step1: Identify conversion factor

From the table, \(1\) pound \( = 0.45\) kilograms.

Step2: Set up conversion equation

Let \(x\) be Jamal's weight in kilograms. If his weight is \(156\) pounds, then \(x=156\times0.45\).

Step3: Calculate

\(156\times0.45=(150 + 6)\times0.45=150\times0.45+6\times0.45 = 67.5+2.7=70.2\).

Answer:

Jamal weighs \(70.2\) kilograms.