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. write a function that gives the number of tickets ( t(w) ) fans buy to dragons games after the dragons have had ( w ) consecutive wins. ( t(w) = square )

Explanation:

Step1: Identify initial ticket count

The base number of tickets when there are 0 consecutive wins is 200.

Step2: Identify growth factor

Each consecutive win multiplies ticket sales by 1.1, so this is exponential growth.

Step3: Formulate the function

For \( w \) consecutive wins, the number of tickets is the initial amount multiplied by the growth factor raised to the number of wins.
\( t(w) = 200 \times (1.1)^w \)

Answer:

\( t(w) = 200(1.1)^w \)