Tickets to a school dance are sold for $10 each. The student council spent a total of $400 on set-up costs for the dance. The school's profit (p ), in dollars, from the dance depends on the number of tickets sold (1).
Which function describes the relationship between p and 1?

We want to find the equation that represents the school's profit. We will get:

P(x) = $10*x - $400

We know that the tickets to the school dance are sold for $10 each, then the revenue, if they sell x tickets, is just:

r(x) = $10*x

And we know that they spent a total of $400.

Remember that profit is defined as the difference between revenue and costs, so the profit equation is just:

P(x) = $10*x - $400

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P(t) = 10t - 400

Step-by-step explanation:

Selling price of each ticket = $10

Cost of setting up the dance= $400

Profit = Revenue - cost

Revenue = price × quantity

Revenue that will maximize profit = 10t

where t= quantity of tickets that maximises profits

Cost = $400

Profit(t) = Revenue - cost

P(t)= 10t - 400

a is the correct