To control an infection, a doctor recommends that a patient who weighs 92 pounds be given 320 milligrams of antibiotic. If the antibiotic is given proportionally according to the patient's weight, how much antibiotic should be given to a patient who weighs 138 poundsTo control an infection, a doctor recommends that a patient who weighs 92 pounds be given 320 milligrams of antibiotic. If the antibiotic is given proportionally according to the patient's weight, how much antibiotic should be given to a patient who weighs 138 pounds

Answer: 480 milligramsStep-by-step explanation:We can solve this by using direct proportion whereby y = kxwhere,x = patient's weight = 92 poundsk = constanty = milligrams of antibiotics = 320Using y = kx320 = 92kk = 320/92k = 3.4782609The antibiotic that should be given to a patient who weighs 138 pounds will be:y = kxy = 3.4782609 × 138y = 480 milligramsThe antibiotic that should be given to a patient who weighs 138 pounds is 480 milligrams.