Question

A plant can manufacture 50 golf clubs per
day for a total daily cost of $7647 and 100
golf clubs per day for a total daily cost of
$9147 assuming that daily cost and
production are linearly related, Find the
equation of the total cost of producing golf
clubs in the form
y = mx +b.

Answer 1

Answer:

The correct equation is "y=30x+6147". A further explanation is given below.

Step-by-step explanation:

The given values are:

(x1, y1) = (50, 7647)

(x2, y2) = (100, 9147)

As we know,

The slope is,

⇒ $m=\frac{y2-y1}{x2-x1}$

On substituting the given values, we get

⇒     $=\frac{9147-7642}{100-50}$

⇒     $=\frac{1500}{50}$

⇒     $=30$

Now,

⇒ $(y-y1)=m(x-x1)$

On substituting the given values in the above equation, we get

⇒ $y-7647=30(x-50)$

⇒ $y-7647=30x-1500$

On adding "7647" both sides, we get

⇒ $y-7647+7647=30x-1500+7647$

⇒                        $y=30x+6147$