Costs- Printing

[Guest]

The costs of printing a leaflet has a fixed fee and an additional fee per each leaflet.

Total costs:
1000 leaflets- $550
2000 leaflets- $880

Calculate fixed fee and additional fee for each leaflet.

Check my solution:

Let x = fixed fee
Let y = additional fee

x + 1000y = 550
x + 2000y = 880

Multiply second equation by -1
x + 1000y = 550
-x - 2000y = -880
-----------------------
-1000y = -330
-1000y/-1000 = -330/-1000

y = .33 (additional fee)

x + 1000(.33) = 550 (using .33 in first equation)
x + 330 = 550
x + 330 - 330 = 550 - 330
x = $220 (fixed fee)

Recheck:

$220 + $330 = $550

$220 + $660 = $880


Is there another method of solving ?

[Guest]

This indicates a straight line relationship of the form y=mx + C

m = (y2-y1) / (x2 - x1) = (880 - 550) / (2000 - 1000) = 0.33 dollars (fee per leaflet)

Use any of the costs to calc "C".....y = mx + C ....so.... 550 = 0.33 x 1000 + C .....
So C = 220 .......OR use other figure.... 880 = 0.33 x 2000 + C .....so C = 220 dollars (fixed fee)

[Guest]

Thank you.