Acompany’s profits (p) are related to the number of items produced (x) by a linear equation. if profit rise by $1,000 for every 250 items produced, what is the slope of the graph of the equation?

The required slope is 4.

Step-by-step explanation:

P = kx where k is a constant and is the slope of the graph of the equation.

When x = 250, P = 1000 so

1000 = k * 250

k = 1000/250

= 4.

The coordinates of P are (12,9)

Step-by-step explanation:

Equations

We are given the endpoints of the segment AB: A(10,8) B(18,12).

It's required to find the coordinates of point P(x,y) along the segment AB such that:

The ratio of the distances is the same as the ratio of their respective coordinates:

Since

Then:

Multiplying by 3 (18-x):

3( x - 10 )= 18 - x

3x - 30 = 18 - x

Adding x and 30:

4x = 48

x = 12

Similarly:

Multiplying by 3 (12-y):

3( y - 8 ) = 12 - y

3y - 24 = 12 - y

Adding y and 24:

4y = 36

y = 9

The coordinates of P are (12,9)