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A paintball court charges an initial entrance fee plus a fixed price per ball. $\newline$ The variable $p$ models the total price (in dollars) as a function of $n$ , the number of balls used. $\newline$ $p = 0.80n + 5.50$ $\newline$ What is the entrance fee? $\newline$ $\$$ $\square$

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Write a linear function: word problems

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Q. A paintball court charges an initial entrance fee plus a fixed price per ball.

\newline

The variable

p

models the total price (in dollars) as a function of

n

, the number of balls used.

\newline

p = 0.80n + 5.50

\newline

What is the entrance fee?

\newline

\$

\square

Identify Components: Identify the components of the equation. $\newline$ The equation $p = 0.80n + 5.50$ represents the total price $p$ as a function of the number of balls $n$ used. The term with $n$ ( $0.80n$ ) represents the variable cost per ball, and the constant term ( $5.50$ ) represents the fixed cost, which is the entrance fee.
Extract Entrance Fee: Extract the entrance fee from the equation. $\newline$ The entrance fee is the constant term in the equation, which is not multiplied by the variable $n$ . In the equation $p = 0.80n + 5.50$ , the entrance fee is $\$5.50$ .

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