Problema Solution

The cost to produce 50 books for biology is $4100. If the science department need to make more book the cost is 5780 for 85 books. Write an equation for the cost to produce the lab books in terms of the number produced. If the Biology department had a budget of $7000 for the books, how many can they produce?

Answer provided by our tutors

Let the cost function, C(x) be 

C(x) = Ax + B , x = no. of books 

So, 4100 = 50A+B and 

5780 = 85 A + B  

So, A= 48 and B = 1700 

So the cost function, C(x)= 48 x + 1700