Question

Help please the question is in the picture

Answer 1

a)
`W(x) = 0.50 (3^x)`

W = tickets worth in $
x = number of balloons popped

b) For 8 balloons popped, number of tickets = 6,561

Tickets worth =
`\$ 3,280.50`

Explanation:

The relation between number of balloons popped(x) and the number of tickets is

`f(x) =3 ^ x\\\\f(1) = 3^1 = 3\\\\f(2) = 3^2 = 9\\\\f(3) = 3^3 = 27\\\\f(4) = 3^4 = 81`

each ticket is worth 50 cents

So for x tickets

`W(x) = 0.50 (3^x)`

Number of tickets for 8 balloons popped
f(x) = 3^8

=
`f(x) = 3^8 = 6,561`

Ticket worth =
`0.5 * 6,561 = \$ 3,280.50`