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.

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 =

Thus the required function is :

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