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:

1350 ounces

Step-by-step 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

Answer:

4320 ounces.

Step-by-step explanation:

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

at t=0 => [tex]2^{0}[/tex]x135 = 135

at t=3 => [tex]2^{1}[/tex]x135 = 270

at t=6 => [tex]2^{2}[/tex]x135 = 540

at t=9 => [tex]2^{3}[/tex]x135 = 1080

at t=12 => [tex]2^{4}[/tex]x135 = 2160

at t=15 => [tex]2^{5}[/tex]x135 = 4320