Question

An epidemiologist is observing the decay pattern of a pathogenic bacteria after applying a vaccine. He starts with 1,000 bacteria that decay at a rate of 8% per hour. He will check on the bacteria in 48 hours. How many bacteria will he find? Round your answer to the nearest whole number.

Answer 1

8%=1 hour

?=48 hours

48×8

384

1000-384

616 bacteria

Answer 2

21

Explanation:

Identify the value of each variable in the formula. Be sure to put the percent in decimal form. Be sure the units match—the rate is per hour and the time is in hours.

AA0rt=?=1000=−0.08/hour=48hours

Substitute the values in the formula.

AA=A0ert=1,000e−0.08⋅48

Compute the amount.

A≈21.49

Round to the nearest whole number.

A≈21