Question

5. A photograph of a bacteria enlarged 50.000 times
attains a length of 5 cm as shown in the diagram
What is the actual length of the bacteria? If the
photograph is enlarged 20,000 times only, what
would be its enlarged length?​

Answer 1

Answer:

Step-by-step explanation:

If two quantities increase or decrease together in such a manner that the ratio of their corresponding values remain constant, we say  that the two quantities vary  directly.

In other words x and y are said to vary directly if X/y = k , where k is a positive constant.

In direct Proportion

x/y= k

x=ky

So we can find value of k from known values, and then use the formula to calculate the unknown values.

When two quantities x and y are in direct proportion (or vary directly) they are also written as x∝y.

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Let the actual length of bacteria be ‘x’ & enlarged length be y cm.

Here the number of times  the photograph of bacteria was enlarged  & the length of the bacteria are in direct proportion.

5/50000=x /1

X= 1/10000

x=0.0001cm  

x=10^-4

Hence, the actual length of bacteria is 10^-4

 

Let the length of the bacteria when the photograph of bacteria was enlarged 20000 times be y

5/50000 = y/20000

y × 50000 = 5× 20000

y= 5× 20000/50000

y= 2cm.

Hence, the enlarged length of the bacteria is 2cm.