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

Answer:

The enlarged length of bacteria is 2 cm.

Step-by-step explanation:

$\ggg \red{\underline{Question:-}}$

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? ​

$\ggg \red{\underline{Solution:-}}$

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.(to attachment)

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 $10^-^4cm$

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

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

$\Rightarrow y = \frac{20000 \times 5}{50000}$

$\Rightarrow y = \frac{100000}{50000}$

$\Rightarrow y = 2$

Hence, the enlarged length of bacteria is 2 cm.