Question

A high school chorus has $1000 in its school account at the beginning of the year. They are putting on a fall concert to raise money for a trip later in the year. At the concert last year they sold tickets for $10 each. If they sell tickets at the same price the total amount in the chorus account can be represented by the linear function T = 10x + 1000. If they increase the ticket price to $15, how many tickets will they have to sell to have a total of $4000 in the account?

A)
100 tickets
B)
150 tickets
C)
200 tickets
D)
250 tickets

Answer 1

There are several information's already given in the question. Based on those information's the answer can be easily deduced.
The equation given in the question is
T = 10x + 1000
When the ticket rate is increased to $15, the equation becaomes
T = 15x + 1000
4000 = 15x + 1000
15x = 3000
x = 200 tickets
From the above deduction, it can be concluded that the correct option among all the options that are given in the question is the third option or option "C".