Will someone check my equations for number 1 and 2 and help me figure out number 3?

Thanks!
A recording company invests $18,972 for the setup cost for producing a master tape of a band and it costs$1.90 to make each copy of the master tape. Each tape is sold for $9.10. 1. Write an equation to express the total cost of producing t tapes as a function of C(t) = cost. I got: C(t) = 9.10t - 1.90t- 18,972 2. Write a nequation to express the revenue in selling t tapes as a function of R(t) = revenue. R(t) = 9.10t 3. Find the coordinates of the point of intersection algebraically. I have no clue 2. Originally Posted by NathanielZhu A recording company invests$18,972 for the setup cost for producing a master tape of a band and it costs $1.90 to make each copy of the master tape. Each tape is sold for$9.10.

1. Write an equation to express the total cost of producing t tapes as a function of C(t) = cost.

I got: C(t) = 9.10t - 1.90t- 18,972

C(t) = 1.90t + 18,972

2. Write a nequation to express the revenue in selling t tapes as a function of R(t) = revenue.

R(t) = 9.10t
... ok

3. Find the coordinates of the point of intersection algebraically.

I have no clue

set revenue = cost ...

9.10t = 1.90t + 18972

solve for t, then determine either the cost or revenue (they will be the same value) for that value of t.
...

3. Thanks so much!

It makes sense now!

I have the logic of a dolphin.

Thank you again.

+ rep

4. Re: Word problem question

Wait is there a better way to solve for 2? And what did you ens up getting for 3?

Originally Posted by NathanielZhu
A recording company invests \$18,972 for the setup cost for producing a master tape of a band and it costs \$1.90 to make each copy of the master tape. Each tape is sold for \\$9.10.

1. Write an equation to express the total cost of producing t tapes as a function of C(t) = cost.

I got: C(t) = 9.10t - 1.90t- 18,972

2. Write a nequation to express the revenue in selling t tapes as a function of R(t) = revenue.

R(t) = 9.10t

3. Find the coordinates of the point of intersection algebraically.

I have no clue
Originally Posted by jennylee27
Wait is there a better way to solve for 2? And what did you ens up getting for 3?
digging up an almost 8 year old problem, huh?

(2) ...

revenue = (price)(number sold)

... doesn't get much simpler than that

(3) what do you get?