Answer:
[tex]f(x)=12000*(\frac{1}{4})^{x}[/tex]
Step-by-step explanation:
Given : 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.
To Find:How many termites were there after the house was sprayed x times? Write a function to represent this scenario.
Solution :
Since we are given that the house was sprayed x times .
Let f(x) be the no. of termites were there after the house was sprayed x times
We are also given that there are 12,000 termites in a house. Each time the house was sprayed, the number of termites was reduced to one-fourth the previous number.
Thus after spraying x times the no, of termites =
[tex]f(x)=12000*(\frac{1}{4})^{x}[/tex]
Thus the required function is : [tex]f(x)=12000*(\frac{1}{4})^{x}[/tex]
