A photograph of a bacteria enlarged 50,000 times attains a length of 5 cm. What is the actual length of the bacteria?
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?
1 Answers
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 5/50000 = x/1
x = 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.
5/50000 = y/20000
y = (20000 x5)/50000 = 2
Hence, the enlarged length of bacteria is 2 cm.