# Word problem question

• Sep 6th 2009, 04:59 AM
NathanielZhu
Quote:

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
• Sep 6th 2009, 09:08 AM
skeeter
Quote:

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.

...
• Sep 6th 2009, 12:06 PM
NathanielZhu
Thanks so much!

It makes sense now!

I have the logic of a dolphin.

Thank you again.

+ rep
• Jul 22nd 2017, 02:23 PM
jennylee27
Re: Word problem question
Wait is there a better way to solve for 2? And what did you ens up getting for 3?
• Jul 22nd 2017, 02:47 PM
skeeter
Quote:

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

Quote:

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?