Answer :
The function to represent the growth of the bacteria overtime in your science experiment is:
[tex]y = 70(3^x)[/tex]
Solution:
Given that,
Suppose you are performing an experiment in science class in which you start with 70 bacteria and the amount of bacteria triples every hour
Let,
y is the number of bacteria at time x
x is the number of hour(time)
As per the given information,
You start your experiment with 70 bacteria,and the bacteria triples in every hour
Therefore,
At end of 1 hour,
y = 70 x 3 = 210
At the end of 2 hours,
[tex]y = 210 \times 3 = 630\\\\Which\ can\ also\ be\ written\ as\\\\y = 70 \times 3^2 = 70 \times 9 = 630[/tex]
At the end of 3 hours,
[tex]y = 630 \times 3 =1890 \\\\Which\ can\ also\ be\ written\ as\\\\y = 70 \times 3^3 = 70 \times 27 = 1890[/tex]
Thus at end of "x" hours we will have,
[tex]y = 70 \times 3^x\\\\y = 70(3^x)[/tex]
Thus the function to represent the growth of the bacteria overtime in your science experiment