(a) 500*2^3 = 500*8 = 4000
(b) 500*2^0 = 500*1 = 500
(c) when 3x=1 or every 1/3 hour
(d)
500*2^3x= 32000
2^3x = 32000/500 = 64
2^3x = 2^6
3x = 6
x = 2
Salmonella bacteria grows rapidly in a nice warm place. If just a few hundred were left on a cutting board when a chicken was cut up, and they get into the potato salad, the population begins compounding. Suppose the number present in the potato salad after x hours is given by: f(x)=500(2^(3x))
a.)If the potato salad is left out on the table, how many bacteria are present 1 hour later?
b.)How many were present initially?
c.)How often do the bacteria double?
d.)How quickly will the number of bacteria increase to 32,000?
1 answer
1 answer