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
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