Question

8. A photograph of a bacteria enlarged 1,00,000 times attains a length of 4 cm. What is
the actual length of the bacteria? If the photograph is enlarged 25000 times only, what
would be its enlarged length?​

Answer 1

Step-by-step explanation:

Let the actual length of bacteria be x cm and the enlarged length of bacteria be y cm if the photograph is enlarged for 20,000 times.

The given information in the form of a table is as follows.

The number of times the photograph of bacteria was enlarged and the length of bacteria are in direct proportion.

Therefore, we obtain

\frac{5}{50000}=\frac{x}{1}

\Rightarrow x=\frac{1}{10000}=_{10}-4

Hence, the actual length of bacteria is _{10}-4 cm.

Let the length of bacteria when the photograph of bacteria is enlarged 20,000 times be y.

\frac{5}{50000}=\frac{y}{20000}

y=\frac{20000\times5}{50000}=2

Hence, the enlarged length of bacteria is 2 cm.