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mr_godi [17]
3 years ago
14

A culture started with 1,000 bacteria. After 3 hours, it grew to 1,100 bacteria. Predict how many bacteria will be present after

17 hours?
Mathematics
1 answer:
ss7ja [257]3 years ago
5 0
The general equation for exponential growth can be written as:
x_{t} = x_{0} (1+r)^{t}
where r is the growth rate.
Plugging in the given values, we get:
1100=1000(1+r)^{3}
Therefore
(1+r)^{3}=1.1
giving
1+r= \sqrt[3]{1.1} =1.0323
The predicted number of bacteria after 17 hours is given by:
1000(1.0323)^{17}=1716
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According to the picture, angles 1 and 2 have the same measure because they are corresponding angles. Make equal both expressions for 1 and 2 and find x.

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\begin{gathered} \measuredangle1=50-2x \\ \measuredangle1=50-2(\frac{3}{2}) \\ \measuredangle1=50-3 \\ \measuredangle1=47 \\ \measuredangle2=110-42x \\ \measuredangle2=110-42(\frac{3}{2}) \\ \measuredangle2=110-63 \\ \measuredangle2=47 \end{gathered}

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