Question

Tickets to the senior class play cost $7. Production expenses for costumes and sets are $350. The profit (p) will depend on the number of tickets sold (n). Which equation could represent the relationship between the profit and the number of tickets sold? Determine the number of tickets that must be sold to cover expenses.

A) p = 7n + 350; 50 tickets
B) p = 7n − 350; 50 tickets
C) p = 350 − 7n; 5 tickets
D) p = 7n − 350; 35 tickets

Answer 1

B is the correct answer because 50 tickets times 7 dollars per ticker equals 350, and 350-350 equals 0. 50 Tickets must be sold to cover expenses

Answer 2

We are given

Tickets to the senior class play cost $7

Let's assume total number of tickets sold is n

so, total tickets sold =7*n

`SP=7n`

we are given

Production expenses for costumes and sets are $350

so,
`CP=350`

we know that

profit =SP-CP

`P=7n-350`

the number of tickets that must be sold to cover expenses when profit is zero

so, we can set p=0

and then we can solve for n

`0=7n-350`

`7n=350`

`n=50`

so, option-B...........Answer