raffle tickets are being sold for a fundraiser. The relationship between n, number of raffle tickets sold, and A, amount of mone y in dollars raised, is given by the function below. A(n)=3n-20 What is the equation of the inverse function N(a)?
2 answers:
Answer:
D. N(a) = (a + 20)/3
Step-by-step explanation:
A(n) = 3n - 20
A is a function of n. The inverse will be: N is a function of a.
Change A(n) to y and n to x.
y = 3x - 20
Switch x and y.
x = 3y - 20
Solve for y.
x + 20 = 3y
3y = x + 20
y = (x + 20)/3
Now switch y to N(a) and x to a.
Answer: N(a) = (a + 20)/3
Answer:
The inverse is (n+20)/3
Step-by-step explanation:
a(n) = 3n - 20
Let this equal y
y = 3n-20
Exchange y and n
n = 3y-20
Solve for y
add 20 to each side
n+20 = 3y-20+20
n+20 = 3y
Divide each side by 3
(n+20)/3 = 3y/3
(n+20)/3 = y
The inverse is (n+20)/3
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