Astore had 150 laptops in the month of january. every month, 20% of the laptops were sold and 10 new laptops were stocked in the store. which recursive function best represents the number of laptops in the store f(n) after n months? f(n) = 150 − 0.8 x f(n − 1) + 10, f(0) = 150, n > 0 f(n) = 0.2 x f(n − 1) + 10, f(0) = 150, n > 0 f(n) = 0.8 x f(n − 1) + 10, f(0) = 150, n > 0 f(n) = 150 + 0.8 x f(n − 1) + 10, f(0) = 150, n > 0

Answer-

Solution-

Here, n represents the number of months and f(n) represents the number of laptops in the store after n months.

As the store had 150 laptops in the month of January or at the beginning.

So

Every month, 20% of the laptops were sold and 10 new laptops were stocked in the store.

As 20% of laptops were sold, so 80% were in the store.

So, after one month total number of laptops in the store,

Again after one month total number of laptops in the store,

Analyzing the pattern, the recursive function f(n) will be,

step-by-step explanation: