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

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

Explanation:

The given values are:

(x1, y1) = (50, 7647)

(x2, y2) = (100, 9147)

As we know,

The slope is,

⇒
`m=(y2-y1)/(x2-x1)`

On substituting the given values, we get

⇒
`=(9147-7642)/(100-50)`

⇒
`=(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`