Question

When the county fair opened its gates, 68 people entered the fairgrounds. After one hour, there were 1.5 times as many people on the fairgrounds as when the gates opened. After two hours, there were 1.5 times as many people on the fairgrounds as the previous hour. If this pattern continues, write the equation representing the number of people, y, at the fair x hours after the gates open.

Answer 1

f(x) = 68(1.5)^x

Explanation:

Answer 2

given that the population increases by a ration of 1.5 every our, the equation modeling the information above will be geometric and it follows that:
an=ar^(n-1)
hence our expression will be:
a=68
r=1.5
an=y
x=n
when we plug in the formula we get:
y=68(1.5)^(x-1)