Question

suppose it takes 8 hours for a certain strain of bacteria to reproduce by dividing in half. if 70 bacteria are present to begin with, the total number present after x days is f(x)=70·8^x. find the total number present after 1, 2, and 3 days. there will be 560 bacteria present after 1 day, 1120 after 2 days and 1680 after 3 days. question help: ebook written example message instructor

Explanation:

Step1: Substitute $x = 1$ into $f(x)$

$f(1)=70\times8^{1}=70\times8 = 560$

Step2: Substitute $x = 2$ into $f(x)$

$f(2)=70\times8^{2}=70\times64 = 4480$

Step3: Substitute $x = 3$ into $f(x)$

$f(3)=70\times8^{3}=70\times512 = 35840$

Answer:

There will be 560 bacteria present after 1 day, 4480 after 2 days and 35840 after 3 days.