A certain research group plans to create computer models of x% of a list of 10,000 bacterial species...
A certain research group plans to create computer models of x% of a list of 10,000 bacterial species known to inhabit the human body. After a budget cut, the group finds it must reduce this selection by (x − 9)%. In terms of x, how many species of bacteria will the group be able to model?
Answer/Solution
(x)*(109 - x)
Steps/Work
Initial: (x/100)*10000 = 100x (bacterial species)
After reduce BY (x - 9)%, the percentage of bacterial species = 1 - (x - 9)% = 1 - (x - 9)/100 = (109 - x)/100
Note: Difference between reduce to[means: the remain] and reduce by[means: the remain = 1 -reduce by]
So, the number of bacterial species after reducing: 100x*(109 - x)/100 = (x)*(109 - x)
Ans is D.
After reduce BY (x - 9)%, the percentage of bacterial species = 1 - (x - 9)% = 1 - (x - 9)/100 = (109 - x)/100
Note: Difference between reduce to[means: the remain] and reduce by[means: the remain = 1 -reduce by]
So, the number of bacterial species after reducing: 100x*(109 - x)/100 = (x)*(109 - x)
Ans is D.