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2 years ago

5

Megan surveyed a random sample of 60 students at her school and found that 42 of them ride the bus to school each day. if there

are 320 students at megan's school, about how many of them ride the bus to school each day?

1 answer:

Dmitry_Shevchenko [17]2 years ago

4 0

42/60, x/320. 320/60=5.33333, 42*5.33333=224. So, about 224 students would ride the bus.

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Step-by-step explanation:

Apparently you are asked to use the constant k = 0.0001 instead of the most common 0.00012. We'll answer the problem using such number you typed, but make sure that there is no omission in your typing.

The equation to use is that for carbon decay:

$N(t)=N_0\,e^{-0.0001\,\,t}$

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we use this to solve for the time (t) in our equation:

$0.54\,\,N_0=N_0\,e^{-0.0001\,\,t}\\\frac{0.54\,\,N_0}{N_0}=e^{-0.0001\,\,t}\\0.54=e^{-0.0001\,\,t}\\ln(0.54)=-0.0001\,\,t\\t=\frac{ln(0.54)}{-0.0001} \\t=6161.86\,\,years$

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