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Effectus [21]
3 years ago
7

A company finds it can produce 15 heaters for $ 4050​, while producing 25 heaters costs $ 6550. Express the​ cost, y, as a l

inear function of the number of​ heaters, x.
Mathematics
1 answer:
amid [387]3 years ago
8 0

Answer:

y=250x+300

Step-by-step explanation:

Let x be the number of heaters and y be the total cost.

We need to find the linear function for y in terms of x.

It is given that company can produce 15 heaters for $4050 and 25 heaters costs $ 6550.

It means the line passes through the points (15,4050) and (25,6550).

If a line passes through two points (x_1,y_1) and (x_2,y_2), then the equation of line is

y-y_1=\frac{y_2-y_1}{x_2-x_1}(x-x_1)

The equation of line is

y-4050=\frac{6550-4050}{25-15}(x-15)

y-4050=\frac{2500}{10}(x-15)

y-4050=250(x-15)

y-4050=250x-3750

Add 4050 on both sides.

y-4050+4050=250x-3750+4050

y=250x+300

Therefore, the required linear function is y=250x+300.

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