10. a bacteria is growing continually at a rate of 2.34% per hour. if the bacteria is first found
to be 850mg, in how many hours will it take to reach 1000mg?

The time to reach 1000 mg is 7 hours

Step-by-step explanation:

Given as :

The rate at which bacteria growing = 2.34% per hour

The initial amount of bacteria = 850 mg

The final amount of bacteria   = 1000 mg

Let The time period fro bacteria growing = T hours

Now, Final value = Initial value ×

Or,    1000 mg     = 850 mg ×

Or,     =

Or,    1.1764                                 =  

Or,    1.1764                                 =

Or,    Taking log both side

       log(1.1764) = log ( )

Or,  0.07055 = T × 0.01004                                   ( )

∴   T = 7.026  hour or T ≈ 7  hours

Hence The time to reach 1000 mg is 7 hours  Answer

in problems involving proportions, we can use cross products to test whether two ratios are equal and form a proportion. to find the cross products of a proportion, we multiply the outer terms, called the extremes, and the middle terms, called the means.

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