In 1995 america online had about 3,000,000 users.over the next decade users are expected to increase from a few million to the tens of millions. Suppose the number of users increases by 150% by the year 2000.how many users will there be in the year 2000?

1 Answer
May 15, 2018

#7,500,000#

Explanation:

#color(brown)("Consider 150% "->150/100)#

This can be written as #(50+50+50)/100#

where #(50+50)/100 = 1# is the whole of the original count

So the we have an increases #50/100# which is half as much again.

Thus we have:

# 3,000,000+ (3,000,000)/2 #

#3,000,000#
#ul(1,500,000larr" Add")#
#4,500,000#
~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
#color(brown)("Now consider the wording in the question.")#

"Increase by 150%"

Notice they #ul("do not")# say "increase by 50%"#->150/100xx3,000,000#

So do they mean:

#3,000,000+[150/100xx3,000,000]#

In which case we have:

#3,000 ,000#
#ul(4,500,000larr" Add")#
#7,500,000#