Mathematics, 21.01.2020 20:31 zaire8

Acompany finds it can produce 15 heaters for $ 4050â€‹, while producing 25 heaters costs $ 6550. express theâ€‹ cost, y, as a linear function of the number ofâ€‹ heaters, x.

Answers

Answer from: kayla2945

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.

Answer from: Quest

table 1

step-by-step explanation:

1-16

2-32

4-64

8-128

all multiples of 16

There are 16 tablespoons in one cup. which table correctly relates the number of cups to the number

Answer from: Quest

Xis equal to three

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