A certain medicine is given in an amount proportional to a patient's body weight. Suppose a patient weighing 132 pounds requires 143 milligrams of medicine What is the amount of medicine required by a patient weighing 156 pounds? square milligrams

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A certain medicine is given in an amount proportional to a patient's body weight. Suppose a patient weighing 132 pounds requires 143 milligrams of medicine What is the amount of medicine required by a patient weighing 156 pounds? square milligrams

Answer 1

### 93.23 milligrams

Answer 2

## Step1: Establish Proportionality Constant ### Determine the constant of proportionality, \( k \), using the given data: \( 143 \, \text{mg} \) required for \( 132 \, \text{pounds} \). \[ k = \frac{143 \, \text{mg}}{132 \, \text{pounds}} \] ## Step2: Calculate Required Medicine ### Use the proportionality constant \( k \) to calculate the medicine required for a patient weighing \( 86 \, \text{pounds} \). \[ \text{Required Medicine} = k \times 86 \, \text{pounds} \] \[ \text{Required Medicine} = \frac{143 \, \text{mg}}{132 \, \text{pounds}} \times 86 \, \text{pounds} \] ## Step3: Simplify ### Compute the simplified value: \[ \text{Required Medicine} = \frac{143 \times 86}{132} \]

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A certain medicine is given in an amount proportional to a patient's body weight. Suppose a patient weighing 132 pounds requires 143 milligrams of medicine What is the amount of medicine required by a patient weighing 156 pounds? square milligrams

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