Radioactive Decay- plotting graph

[Doc Windfaller]

Can anyone help me answer this question, I don't really understand it, from kaplan review ch. 12 #4.

for a decay problem - if natural logarithm of ratio of intact nuclei at time t to the intact nuclei at time t=0 [no] is graphed against time, what's slope. Thanks guys.

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[whawha]

I am not quite understanding what the problem is, but nuclear decay reactions are 1st order decay, so the slope should be -k if I'm correct
Can anyone confirm this?

 

[bennijai]

^yep, from my knowledge it's first order decay.

 

[Doc Windfaller]

explain please how you came about to -k. much thanks