SOLUTION: How would I write the linear cost function. 12 units cost $445; 50 units cost $1585. I know the answer is c(x)=3x+85 But I can't figure out how they go the 3 or the 85.

Question 326064: How would I write the linear cost function.
12 units cost $445; 50 units cost $1585.
I know the answer is c(x)=3x+85
But I can't figure out how they go the 3 or the 85.
Answer by Fombitz(32388) (Show Source): You can put this solution on YOUR website!
I don't know either since neither point works in the equation,
=$121
=$235
.
.
.
The linear function would look like,
With the first point,
1.
With the second point,
2.
Subtract eq. 1 from eq. 2 to eliminate b.

Did you mean 30 instead of 3 in your solution above?
Then use either equation to solve for b.

.
.
.

Just to verify,
=$445
=$1585

RELATED QUESTIONS
How do you find marginal cost if 12 units cost $445; 50 units cost $1585 The... (answered by solver91311)

This is my problem and I believe I have the answer (C(x))=3x+27,000 but I don't know the... (answered by jim_thompson5910)

I need help with linear model the cost of producing 4 units is 204.80 the cost of... (answered by checkley77)

A company produces a product for which they variable cost is $12.30 per unit and the... (answered by Boreal)

Help, I need to graph a cost function rule of: C(x)=x^2+6x / x+2 The information... (answered by stanbon)

Hello I need to solve the following problem: A company uses the function: C(x) = 2x2... (answered by Abbey)

I am really bad at these types of problems and my teacher is terrible at explaining. Can... (answered by josgarithmetic,josmiceli)

Hello, I don't know if this is a linear equation or not, sorry. My question is: I need (answered by richard1234)

Given the cost function C= .25x^2 + 10x +200, fund the number of units x that would have... (answered by josmiceli)