My math question

Question

A Campus Republicans fundraiser offers raffle tickets for $10 each. The prize for the raffle is a $325 television​ set, which must be purchased with the proceeds from the ticket sales. Find a function that gives the​ profit/loss for the raffle as it varies with the number of tickets sold. How many tickets must be sold for the raffle sales to equal the cost of the​ prize?The equation used to model this situation is ____, where p is the profit in dollars and t is the number of tickets sold.____ tickets must be sold for the raffle sales to equal the cost of the prize. (Round up to the nearest whole number as needed)

Answer 1

Profit = Revenue minus Cost

P(t) = 10t -325 where t = number of ticekts sold

to break even, 10t=325, t = 32 1/2 ticekts sold

since there are no half tickets, at least 33 tickets must be sold to avoid a loss

selling 33 tickets means a profit of $5

selling 32 tickets means a loss of $5