SOLUTION: 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 las

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Question 1011434: 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 by MathLover1(20850) About Me  (Show Source):
You can put this solution on YOUR website!
use the linear function
T+=+10x+%2B+1000
If they increase the ticket price to $15,the linear function will be:
T+=+15x+%2B+1000
to find out how many tickets will they have to sell to have a total of $4000 in the account,substitute T with 4000 and solve for x
4000+=+15x+%2B+1000
4000-1000+=+15x
3000+=+15x+
x=3000%2F15
x=200
They will have to sell 200 tickets and answer is C.