A photograph of a bacteria enlarged 50,000 times attains a length of 5 cm. What is the actual length of the bacteria? If the photograph is enlarged 20,000 times only, what would be its enlarged length?
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.
Length of bacteria (in cm) |
5 |
x |
y |
Number of times photograph of Bacteria was enlarged |
50000 |
1 |
20000 |
The number of times the photograph of bacteria was enlarged and the length of bacteria are in direct proportion.
Therefore, we obtain
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.
Hence, the enlarged length of bacteria is 2 cm.