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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

Respuesta :

Nirina7
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


Eduard22sly

The function that will represent the growth of the bacteria overtime is:

f(y) = 70 × 3ʸ

Definition of a function

A function is a mathematical representation which gives a better understanding of a written statement.

How to determine the function for the growth

From the question given above, we were told that:

  • Initial amount is 70
  • Amount triples every hour (i.e times 3)

Let f represent the growth

Let y represent the time.

Therefore, the function for the growth of the bacteria can be written as

f(y) = 70 × 3ʸ

Verification of the function

  • Time (y) = 0
  • Growth (f) =?

f(y) = 70 × 3ʸ

f(0) = 70 × 3⁰

f(0) = 70 × 1

f(0) = 70

  • Time (y) = 1
  • Growth (f) =?

f(y) = 70 × 3ʸ

f(1) = 70 × 3¹

f(1) = 70 × 3

f(1) = 210

  • Time (y) = 2
  • Growth (f) =?

f(y) = 70 × 3ʸ

f(2) = 70 × 3²

f(2) = 70 × 9

f(2) = 630

From the above illustrations, we can conclude that the function that represents the growth of the bacteria overtime is:

f(y) = 70 × 3ʸ

Learn more about algebraic expressions:

https://brainly.com/question/953809

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