Question

When the Dragons have lost their most recent game, 200 fans buy tickets. For each consecutive win the Dragons have, the number of tickets fans buy increases by a factor of 1.1

Answer 1

Given :  200 fans buy ticket.  For each consecutive win the Dragons have, the number of tickets fans buy increases by a factor of 1.1

To find :  Write a function that gives the number of tickets t(w) fans buy to Dragons games after the Dragons have had w consecutive wins.

Solution:

200 Fans buy ticket

after 1  win   - Fans buy Ticket  = 200 * 1.1

after 2  win   - Fans buy Ticket  = (200 * 1.1) * 1.1 = 200 * 1.1²

after 3  win   - Fans buy Ticket  = (200 * 1.1²) * 1.1 = 200 * 1.1³

similarly after n wins  Fans buy Ticket  = 200 * 1.1ⁿ

=> after w wins  Fans buy Ticket  = 200 * 1.1^w

t(w) = 200 * 1.1^w

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When the Dragons have lost their most recent game,

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