Academic Integrity: tutoring, explanations, and feedback — we don’t complete graded work or submit on a student’s behalf.

sand Logarithms Practice Quiz New York may have a rat problem (or so is the rumo

ID: 2913310 • Letter: S

Question

sand Logarithms Practice Quiz New York may have a rat problem (or so is the rumour). An animal-relocator uses a bio- degradable-all-natural-pain-free-happy-dreams-sleeping-spray on rats to relocate their numbers in a humane and efficient way. Tested on an original population of 2400 rats, the animal-relocator believes this spray works better the more the rats are exposed to it, modeling an exponential pattern. He reports 16% of rats were relocated to a better place each week, meaning 84% still remained each week. Solve for how many rats are still present after 10 weeks. (Disclaimer: no rats were hurt in this experiment.) There will be, | rats after 10 weeks. (rounded down to the nearest rat)

Explanation / Answer

Every week 84percent of rats remains so we have to multiply number of rats into 84%

For 10 weeks we have multiply 2400 by 0.84 ,10 times

It is 2400x(84/100)10=420 approx rats will be present after 10 weeks