Final answer:
The constant in Amanda's school dance planning scenario is the initial fixed cost of $300, which is the amount she must pay irrespective of the number of tickets sold. So the constant in this scenario is $300.
Step-by-step explanation:
The subject of this question is Mathematics, specifically related to linear equations and cost analysis. Amanda needs to determine the constant in a linear equation which represents the fixed costs associated with planning a school dance.
The constant in this context is the total amount of money that Amanda will spend regardless of the number of tickets sold. Since it costs $300 to rent the gym and pay for supplies, regardless of how many tickets are sold, $300 is the constant.
If we were to express this situation as a linear equation, where x represents the number of tickets sold and y represents the total cost, the equation would be y = 10x + 300. Here, 10x represents the variable component (ticket sales), and 300 is the constant (the initial cost).