Write an equation for the linear function and use it to answer the given question.
-The Math Club plans to pay a visitor $62 to speak at a fundraiser. Tickets will be sold for $2 each. Find an equation that gives the profit/loss for the event as it varies with the number of tickets sold.
How many people must attend the event for the club to break even.
A) $p = - 62 + 2 n ; 31$ people
B) $\mathrm { p } = 62 + 2 \mathrm { n } ; 31$ people
C) $p = - 62 + 2 n ; 62$ people
D) $p = 62 - 2 n ; 62$ people

Question

Write an equation for the linear function and use it to answer the given question.
-The Math Club plans to pay a visitor $62 to speak at a fundraiser. Tickets will be sold for $2 each. Find an equation that gives the profit/loss for the event as it varies with the number of tickets sold.
How many people must attend the event for the club to break even. 
A) $p = - 62 + 2 n ; 31$ people
B) $\mathrm { p } = 62 + 2 \mathrm { n } ; 31$ people
C) $p = - 62 + 2 n ; 62$ people
D) $p = 62 - 2 n ; 62$ people

Quizplus · Accepted Answer

The profit equation is $p = -62 + 2n$, where $p$ is the profit and $n$ is the number of tickets sold. The club breaks even when profit is zero, so setting $p = 0$ gives $0 = -62 + 2n$, solving for $n$ gives $n = 31$.

Write an Equation for the Linear Function and Use It p=−62+2n;31p = - 62 + 2 n ; 31p=−62+2n;31

Write an Equation for the Linear Function and Use It $p = - 62 + 2 n ; 31$