Final answer:
To find the amount of money remaining after entering the fair and purchasing n tokens, the expression is $8 - $0.75n. This is derived from subtracting the total cost of entry and tokens from the initial $15 available.
Step-by-step explanation:
To determine how much money you have left after entering the fair and purchasing n tokens, we need to construct an expression using a bit of algebra. The initial amount of money you have is $15.
The entry fee to the fair is a one-time expense of $7, and each token costs $0.75. So, if you buy n tokens, the total cost for the tokens will be n multiplied by $0.75.
The expression for the total cost of entering the fair and buying tokens is:
$7 + ($0.75 × n)
To find out how much money you have left, you subtract this total cost from your initial amount of $15:
$15 - [$7 + ($0.75 × n)]
Simplifying the expression, we get:
$15 - $7 - $0.75n
$8 - $0.75n
This final expression tells us how much money remains after the fair entry and purchasing n tokens.