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?

Respuesta :

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

[tex]15x-800\ge1,000[/tex]

this is the inequaity that represent this problem

solve for x

[tex]\begin{gathered} 15x-800\ge1,000 \\ 15x\ge1,000+800 \\ 15x\ge1,800 \\ x\ge120 \end{gathered}[/tex]

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?​

[tex]15(150)-800=\$1,450[/tex]

answer part 3 is $1,450

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