Question

Southfield A&T is sponsoring a talent show to raise money. It costs $800 to rent the banquet hall that they are going to use for the show. If they charge $15 for each ticket, how many tickets do they need to sell in order to raise at least $1000 for the charity?They must sell at least ----- ticketsIf they sell 200 ticket will they reach their goal of at least $1000? Type YES or NO If A&T sell 150 tickets how much money did they raise?

Answer 1

Southfield A&T is sponsoring a talent show to raise money. It costs $800 to rent the banquet hall that they are going to use for the show. If they charge $15 for each ticket, how many tickets do they need to sell in order to raise at least $1000 for the charity?



They must sell at least ----- tickets



If they sell 200 ticket will they reach their goal of at least $1000? Type YES or NO



If A&T sell 150 tickets how much money did they raise?​

Let

x -----> the number of tickets

we have

`15x-800\ge1,000`

this is the inequaity that represent this problem

solve for x

`\begin{gathered} 15x-800\ge1,000 \\ 15x\ge1,000+800 \\ 15x\ge1,800 \\ x\ge120 \end{gathered}`

therefore

they must be sell at least 121 tickets

If they sell 200 ticket will they reach their goal of at least $1000? NO

Part 3

If A&T sell 150 tickets how much money did they raise?​

`15(150)-800=\$1,450`

answer part 3 is $1,450