Question

When the Dragons have lost their most recent game,
200
200200 fans buy tickets. For each consecutive win the Dragons have, the number of tickets fans buy increases by a factor of
1.1
1.11, point, 1.
Write a function that gives the number of tickets
t
(
w
)
t(w)t, left parenthesis, w, right parenthesis fans buy to Dragons games after the Dragons have had
w
ww consecutive wins

Answer 1

Answer:

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

Step-by-step explanation:

Exponential Function

We are analyzing a situation where the number of tickets t fans buy depends on the number of consecutive games the Dragons have.

For each consecutive win of the Dragons, the number of tickets fans buy increases by a factor of  1.1. We already know the Dragons have lost the recent game and 200 fans bought tickets. Next time they win, the tickets sold will be

$200\cdot 1.1$

and next time will be

$200\cdot 1.1\cdot 1.1=200\cdot 1.1^2$

We can see the exponent depends on the number of wins (w).

Thus, the function that relates both variables is

$\boxed{t(w)=200\cdot 1.1^w}$

Answer 2

Answer:

200·1.1^w

Step-by-step explanation: