Question

A company finds it can produce 5 heaters for $2000, while producing 15 heaters costs $4600. Express the cost, y, as a linear function of the number of heaters, X. Determine the cost to produce 20 heaters. Express the cost, y, as a linear function of the number of heaters, X. ou y = (Simplify your answer.) The cost to produce 20 heaters is $​

Answer 1

Answer:

• y = 260x + 700
• $5900

Step-by-step explanation:

We can describe it as a linear function with points of:

• (5, 2000) and (15, 4600)

Slope intercept formula:

• y = mx +b

Finding the slope using the two given points:

• m = (4600-2000)/(15-5) = 2600/10 = 260

Finding b:

• 2000 = 5*260 + b

• b = 2000 - 1300 = 700

Formula obtained:

• y = 260x + 700

For x = 20, value of y is:

• y = 260*20 + 700 = 5200+700 = $5900