express the cost, y as a linear function

Question

A company finds it can produce 25 heaters for $6350​, while producing 35 heaters costs $8650.

Express the​ cost, y, as a linear function of the number of​ heaters, x. Determine the cost to produce 40

heaters.

y=_________________

The cost to produce 40 heaters ___________

Answer 1

Slope = Δy/Δx = (8650-6350)/(35-25) = 2300/10 = 230

Y-intercept

y = mx+b

8650 = 230(35)+b

8650 = 8050+b

600 = b

Final equation is y = 230x+600

To produce 40 heaters

y = 230(40)+600 = 9200+600 = $9800

Hope this helped!