Thread: Word problem question

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

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.

...

Thanks so much!


It makes sense now!

I have the logic of a dolphin.


Thank you again.

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