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 pounds? 400 milligrams 480 milligrams 550 milligrams 600 milligrams

480 milligrams

Step-by-step explanation:

We can solve this by using direct proportion whereby y = kx

where,

x = patient's weight = 92 pounds

k = constant

y = milligrams of antibiotics = 320

Using y = kx

320 = 92k

k = 320/92

k = 3.4782609

The antibiotic that should be given to a patient who weighs 138 pounds will be:

y = kx

y = 3.4782609 × 138

y = 480 milligrams

The antibiotic that should be given to a patient who weighs 138 pounds is 480 milligrams.

7. d. 64

8. i. 32

9. c. 125

10. j. none of the above

11. d. 81

12. i. 216

13. e. none of the above

14. g. 240

15. e. none of the above

16. g. 32

17.   e. none of the above