Select the correct answer.

About [tex]$1,500,000$[/tex] bacteria are found in 1 milliliter of coastal ocean water. How many bacteria will be there in 100 milliliters of water?

A. [tex]1.5 \times 10^4[/tex]
B. [tex]1.5 \times 10^5[/tex]
C. [tex]1.5 \times 10^6[/tex]
D. [tex]1.5 \times 10^7[/tex]
E. [tex]1.5 \times 10^8[/tex]



Answer :

Certainly! Let's walk through the problem step by step.

1. We know that there are approximately 1,500,000 bacteria in 1 milliliter of coastal ocean water.
2. We want to find the number of bacteria in 100 milliliters of water.

### Step-by-Step Solution:

1. Identify the number of bacteria in 1 milliliter of water:
[tex]\[ \text{Number of bacteria in 1 milliliter} = 1,500,000 \][/tex]

2. Multiply the number of bacteria per milliliter by the total number of milliliters:
[tex]\[ \text{Total number of bacteria in 100 milliliters} = 1,500,000 \times 100 \][/tex]

3. Perform the multiplication:
[tex]\[ 1,500,000 \times 100 = 150,000,000 \][/tex]

4. Express the result in scientific notation:
[tex]\[ 150,000,000 = 1.5 \times 10^8 \][/tex]

### Conclusion:
The total number of bacteria in 100 milliliters of coastal ocean water is [tex]\(150,000,000\)[/tex], which is expressed as [tex]\(1.5 \times 10^8\)[/tex] in scientific notation.

Therefore, the correct answer is:
[tex]\[ \boxed{1.5 \times 10^8} \][/tex]

Hence, the correct option is:
E. [tex]\(1.5 \times 10^8\)[/tex]