Researchers recorded that a group of bacteria grew from 100 to 7,000 in 14 hours. At this rate of growth, how many bacteria will there be in 32 hours from the start of the experiment? Round to the nearest whole number.

The total number of bacteria that will be there in 32 hours from the start of the experiment is 15571 and this can be determined by using the unitary method.

Given :

Researchers recorded that a group of bacteria grew from 100 to 7,000 in 14 hours.

The following steps can be used in order to determine the total number of bacteria will there be in 32 hours from the start of the experiment:

Step 1 - The unitary method can be used in order to determine the total number of bacteria will there be in 32 hours from the start of the experiment.

Step 2 - According to the given, in 14 hours the bacteria grew from 100 to 7000 that is 6900 bacteria grow in 14 hours.

Step 3 - If 6900 bacteria grew in 14 hours then in 32 hours a total number of bacteria growing is:

Step 4 - Simplify the above expression.

= 15771 bacteria        (Rounded off)

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The number of bacteria grown in 32 hours is 15771

Step-by-step explanation:

It is given that,

Researchers recorded that a group of bacteria grew from 100 to 7,000 in 14 hours.

Therefore, the bacteria has grown from 100 to 7000 in 14 hours.

To calculate number of bacteria grown in 14 hours :

⇒ 7000 - 100 = 6900

6900 bacteria grows in 14 hours. We need to find out the growth of bacteria in 1 hour in order to calculate its growth in 32 hours.

To calculate number of bacteria grown in 1 hour :

⇒ Total bacteria growth in 14 hours / 14

⇒ 6900 / 14

⇒ 492.85

To calculate number of bacteria grown in 32 hours :

⇒ 492.85 × 32

⇒ 15771.2

⇒ 15771  (rounded to nearest whole number)

∴ The number of bacteria grown in 32 hours is 15771

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