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Tom bought a boat for $\$3,000$ and incurs a daily storage fee of $\$15$ . Write a linear function to represent the total amount Tom will owe, $p(x)$ , if he waits $x$ days to pick it up.

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Write a linear function: word problems

Full solution

Q. Tom bought a boat for

\$3,000

and incurs a daily storage fee of

\$15

. Write a linear function to represent the total amount Tom will owe,

p(x)

, if he waits

x

days to pick it up.

Identify costs and days: Identify the initial cost and the daily fee. $\newline$ Initial cost: $\$3000$ $\newline$ Daily storage fee: $\$15$ per day $\newline$ Number of days: $x$
Write total amount equation: Write the equation for the total amount Tom will owe. $\newline$ Total amount = Initial cost + (Daily storage fee $*$ Number of days) $\newline$ $p(x) = 3000 + 15x$

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