An exterminator estimated there were 12,000 termites in a house. Each time the house was sprayed, the number of termites was reduced to one-fourth the previous number. How many termites were there after the house was sprayed x times? Write a function to represent this scenario.

A. f(x)=12,000+(1/4)^x
B. f(x)=1/4(12,000)^x
C. f(x)= 12,000(1/4)^x
D. f(x)=12,000 - (1/4)^x

Question

An exterminator estimated there were 12,000 termites in a house. Each time the house was sprayed, the number of termites was reduced to one-fourth the previous number. How many termites were there after the house was sprayed x times? Write a function to represent this scenario.

 		A.	f(x)=12,000+(1/4)^x
 		B.	f(x)=1/4(12,000)^x
 		C.	f(x)= 12,000(1/4)^x
 		D.	f(x)=12,000 - (1/4)^x

rolldextro · Answer

The correct answer is C.
You can try something like this.
f(0)=12000
f(1)=3000
f(2)=750
f(3)=375/2
see the  pattern?
f(x)=(1/4)^x*12000