St. Polycarp Catholic Church is having a Turkey, Dressing, and Sausage Dinner fundraiser this weekend. In order to make a profit, at least $1150 in tickets must be sold. Tickets are sold for $6 each. Write the set of numbers, in set-builder notation and using t for tickets, that describes when the church will see a profit.

Currently, one gallon of regular unleaded gasoline costs $2.329. You can describe the cost of putting gas in your vehicle by the function , where g represents the number of gallons of gas you bought.
Is 0 a possible value for g? Explain why or why not.
Is -10 a possible value for g? Explain why or why not.

PLEASE help?

To determine the set of numbers that describes when the church will see a profit from the Turkey, Dressing, and Sausage Dinner fundraiser, we need to consider the revenue and cost involved.

Let's start by calculating the revenue. Each ticket is sold for $6, so the revenue is given by the equation R = 6t, where t represents the number of tickets sold.

To make a profit, the revenue needs to be greater than or equal to the cost. The cost, in this case, is $1150. Therefore, the inequality for profit can be represented as R ≥ 1150.

Substituting the revenue equation into the inequality, we have 6t ≥ 1150. Now we can solve for t to find the set of numbers:

6t ≥ 1150
t ≥ 1150/6
t ≥ 191.67

Since we cannot sell a fraction of a ticket, we round up to the nearest whole number. Therefore, the set of numbers that describes when the church will see a profit is t = {192, 193, 194, ...} in set-builder notation.

Moving on to the question about the cost of putting gas in your vehicle:

Is 0 a possible value for g? No, 0 is not a possible value for g. This is because the value of g represents the number of gallons of gas bought, and you cannot buy or put 0 gallons of gas in your vehicle. The function does not apply to this case.

Is -10 a possible value for g? No, -10 is not a possible value for g either. The number of gallons of gas bought cannot be negative as it represents a quantity of gas, and you cannot "unbuy" or remove gas from your vehicle. The function does not apply to negative values of g either.