Question

A woman in hospital receives an injection of penicillin. Her body gradually breaks the penicillin down so that one hour after the injection only 60% of the penicillin will remain active. This pattern continues: at the end of each hour only 60% of the penicillin that was present at the end of the previous hour remains active. Suppose the woman is given a dose of 300 milligrams of penicillin at 8 o’clock in the morning. Complete this table showing the amount of penicillin that will remain active in the woman’s blood at intervals of one hour from 0800 until 1100 hours. Time 0800 0900 1000 1100 Pencillin(mg) 300

Answer 1

0800 - 300g

0900 - 180g

1000 - 108g

1100 - 64.8g

Step-by-step explanation:

Given: A woman in hospital receives an injection of penicillin. Her body gradually breaks the penicillin down so that one hour after the injection only 60% of the penicillin will remain active. This pattern continues: at the end of each hour only 60% of the penicillin that was present at the end of the previous hour remains active. Suppose the woman is given a dose of 300 milligrams of penicillin at 8 o’clock in the morning.

Solution:

60% remains after one hour.

Woman has 300g of penicillin in her body at 0800

So at 0900, the woman will have 60/100 * 300 = 180g.

At 1000, the woman will have 60/100 * 180 = 108g

At 1100, the woman will have 60/100 * 108 = 64.8g