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carlydays3331
04.08.2019 •
Mathematics
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. write a recursive function that represents the number of laptops in the store f(n) after n months.
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Ответ:
f(n) = 0.8 x f(n − 1) + 10, f(0) = 150, n > 0
Step-by-step explanation:
Here, n represents the number of months and f(n) represents the number of laptops after n months,
Since, initially there are 150 laptops,
That is, f(0) = 150,
Also, every month, 20% of the laptops were sold and 10 new laptops were stocked in the store,
⇒ f(1) = (100-20)% of 150 + 10 = 80% of 150 + 10 = 0.8 × (150) + 10 = 0.8×(f(0)) - 1
Similarly,
f(2) = 0.8 × ( f(1) ) + 10
f(3) = 0.8 × ( f(2) ) + 10
f(4) = 0.8 × ( f(3) ) + 10
, so on
Hence, we can write,
f(n) = 0.8 × ( f(n-1) ) + 10
Also, n ( number of months ) can not be negative or zero,
⇒ n > 0,
Therefore, the required recursive function that represents the number of laptops in the store f(n) after n months is,
f(n) = 0.8 x f(n − 1) + 10, f(0) = 150, n > 0
Ответ:
Hey there!
Point slope form:
y-4=-8/7(x-4)
Let me know if this helps :)