Question

Raffle tickets are being sold for a fundraiser. The function a(n) relates the
amount of money raised to the number of tickets sold, n.
It takes as input the number of tickets sold and returns as output the amount
of money raised.
a(n) = 3n - 30
Which equation represents the inverse function n(a), which takes the money
raised as input and returns the number of tickets sold as output?

Answer 1

The money raised depends only on the number of tickets sold, the inverse equation is found by making the tickets sold the subject.

$\underline {n =\frac{a(n) }{3} + 10}$

How can the inverse function be found?

The given parameters are;

a(n) = The amount of money raised

n = The number of tickets sold

a(n) = 3•n - 30

Solution;

The equation that takes the amount of money raised and returns the number of tickets sold is found as follows;

a(n) = 3•n - 30

a(n) + 30 = 3•n

Therefore;

$n = \frac{a(n) + 30}{3} = \frac{a(n) }{3} + 10$

The number of tickets sold,

$\underline {n =\frac{a(n) }{3} + 10}$

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