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

P represents the total price (in dollars) as a function of the number of balls used
n.

P=0.80 n+5.50
What is the price for 10 balls, not including the entrance fee?

$

A paintball court charges an initial entrance fee plus a fixed price per ball. $\newline$ $P$ represents the total price (in dollars) as a function of the number of balls used $n$ . $\newline$ $P=0.80 n+5.50$ $\newline$ What is the price for $10$ balls, not including the entrance fee? $\newline$ $\$$

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Multi-step problems with percents

Full solution

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

\newline

P

represents the total price (in dollars) as a function of the number of balls used

n

.

\newline

P=0.80 n+5.50

\newline

What is the price for

10

balls, not including the entrance fee?

\newline

\$

Formula for total price: We know the formula for the total price $P$ as a function of the number of balls $n$ is $P = 0.80n + 5.50$ . To find the price for $10$ balls, we need to substitute $n$ with $10$ in the formula.
Substituting $n$ with $10$ : Substitute $n$ with $10$ in the formula: $P = 0.80 \times 10 + 5.50$ .
Calculating the price for $10$ balls: Calculate the price for $10$ balls: $0.80 \times 10 = 8$ .
Excluding the entrance fee: Now, add the entrance fee to the price for $10$ balls: $8 + 5.50$ . However, the question asks for the price of $10$ balls not including the entrance fee, so we do not need to add the entrance fee to our calculation.
Price for $10$ balls: The price for $10$ balls, not including the entrance fee, is $\$8$ .

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