Question

The amount of bacteria in a raw piece of meat doubles every 3 hours. If the meat initially contains 135 ounces of bacteria, how much bacteria will be in the meat after 15 hours.

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Answer 1

4320 ounces.

Explanation:

The bacteria doubles every 3 hours. Therefore in 15 hours it will double up 5 times.

at t=0 =>
`2^(0)`x135 = 135

at t=3 =>
`2^(1)`x135 = 270

at t=6 =>
`2^(2)`x135 = 540

at t=9 =>
`2^(3)`x135 = 1080

at t=12 =>
`2^(4)`x135 = 2160

at t=15 =>
`2^(5)`x135 = 4320

Answer 2

1350 ounces

Explanation:

If the bacteria doubles by every 3 hours since our initial amount is 135, it will be;

15hours/3hours = 5hrs

then multiply the bacteria by to find the single amount after the period of time

5hrs × 135 ounces = 675 ounces

then multiply this by two to find the doubled amount; 675 × 2= 1350 ounces