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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)=

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 $1$ . $1$ . $\newline$ Write a function that gives the number of tickets $t(w)$ fans buy to Dragons games after the Dragons have had $w$ consecutive wins. $\newline$ $t(w)=\square$

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Write exponential functions: word problems

Full solution

Q. 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

.

\newline

Write a function that gives the number of tickets

t(w)

fans buy to Dragons games after the Dragons have had

w

consecutive wins.

\newline

t(w)=\square

Identify Initial Condition: Identify the initial condition. $\newline$ The initial number of tickets bought when the Dragons have lost their most recent game is $200$ .
Determine Rate of Increase: Determine the rate of increase for each consecutive win. The number of tickets increases by a factor of $1.1$ for each consecutive win.
Write Function for Tickets: Write the function for the number of tickets bought after $w$ consecutive wins. The function will start with the initial number of tickets and multiply by the factor of $1.1$ raised to the power of $w$ , which represents the number of consecutive wins. $\newline$ $t(w) = 200 \times (1.1)^w$

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