Question

Suppose you're performing experiments in science class in which you start with 70 bacteria and the amount of bacteria triples every hour. Write a function to represent the growth of the bacteria overtime in your science experiment

Answer 1

1h----------------> 70x3=210 bacteria
2h-----------------> 210*3=630 bactaeria
let be y the number of bacteria at the t=0h
it is y=70 3^0
for t= 1h
y=70*3^1=210
for t=2h
y=70*3^2=630

so we can write y=70*3^x, where x is the number of hour

Answer 2

The function to represent the growth of bacteria will be

a=70*3^b

a is the number of bacteria at time b

b is the number of hour(time)

Explanation:

As per the given information You start your experiment with 70 bacteria,and the bacteria triples in every hour so in

1 hour = 70*3=210 bacteria are formed

2 hour = 210*3=630 bacteria are formed

3 hour=630*3=1,890 bacteria are formed

let a  be the number of bacteria at the t=1 hour

if  t= 1 hour then

a=70*3^1=210

if t=2 hour then

a=70*3^2=630