The cost C,of printing a newspaper is partly constant and partly varies as n,the number of printed newspapers.

(1) Express C in terms of n and constants k and h
(2) if the cost of printing 500 newspapers is 320 and of 1000 newspapers is 540,Find the cost of printing 750 newspapers

1 answer

(1) C = k + hn
(2) We can use the given information to solve for k and h:
320 = k + 500h
540 = k + 1000h
Subtracting the first equation from the second, we get:
220 = 500h
h = 0.44
Substituting this value of h into either equation, we can solve for k:
320 = k + 500(0.44)
320 = k + 220
k = 100
Now we can use the formula from part (1) to find the cost of printing 750 newspapers:
C = 100 + 0.44(750)
C = 430