The correct option is First option i.e. f(1) = 52,000; f(n) = 1.2 · f(n - 1) - 0.30 · f(n - 1) + 2,300; for n ≥ 2
Percentage can be calculated by dividing the value by the total value, and then multiplying the result by 100.
On average, his salary is 1.2 times the previous year's salary:
f(n)=1.2 X f(n-1)
30% of his income is budgeted for rent:
Rent: R = 30%f(n-1)
= 30 X f(n-1)/100
R = 0.30 X f(n-1)
In addition to his salary, Adrian's income increases by $2,300 each year as a result of gifts from family members:
Gifts: G=2,300
If Adrian initially has $52,000:
n=1, f(n)=f(1)=52,000
If n denotes the number of years, which recursive equation gives Adrian's annual income as a function of the year, f(n)?
f(1)=52,000
f(n)=1.2 X f(n-1)-R+G; for n ≥ 2
f(n)=1.2 X f(n-1)-0.30*f(n-1)+2,300; for n ≥ 2
Thus, the correct option is First option i.e. f(1) = 52,000; f(n) = 1.2 · f(n - 1) - 0.30 · f(n - 1) + 2,300; for n ≥ 2
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