In a parenting magazine, Mrs. Smith read an advertisement about all the different ways that bleach can be used to kill bacteria. The advertisement claimed that some forms of bacteria triple in amount after each hour. Consider the situation where one bacterium is found on Mrs. Smith's countertop at home.

Question:

(a) How many bacteria would be found in 24 hours

(b) How many bacteria would be found in 2 days

(c) How long for 1000 bacteria to be found

(a) 282429536481 bacteria

(b) bacteria

(c) 6 days

Step-by-step explanation:

The question illustrates an exponential function

Where

--- i.e. triples

Solving (a): Bacteria in 24 hours

In this case:

Substitute , and

So:

bacteria

Solving (b): Bacteria in 2 days

So:

Substitute , and

So:

bacteria

Solving (c): How long for 1000 bacteria

In this case:

Substitute , and

So:

Take Log of both sides

This gives:

Make x the subject

Hence: It takes 6 days

answer:

it is general formula that is used to write value to its excet position

a11 a12 a13

a21 a22 a23

it is the example of order 2 by 3 matrix in this

a11 means value occur in 1 st row 1st column

a12 means value occurs in 1st row 2nd column

a13 means value occur in 1st row and 3rd column

a21 means value occurs in 2nd row and 1st column

a22 means value occurs in 2nd row and in 2nd column

a23 means value occurs in 2nd row and in 3rd column