# A company sells 80 units and makes P80 profit. It sells 110 units and makes P140 profit. If the profit is a linear function of the number of units sold, what is the average profit per unit if the company sells 250 units?

1
by danielrellen

• Brainly User
2016-04-16T13:53:58+08:00

### This Is a Certified Answer

Certified answers contain reliable, trustworthy information vouched for by a hand-picked team of experts. Brainly has millions of high quality answers, all of them carefully moderated by our most trusted community members, but certified answers are the finest of the finest.
Units sold: x
Profit for corresponding units sold:  y

Given:
x₁ = 80 (units)        x₂ = 110 (units)
y₁ = 80 (profit)        y₂ = 140 (profit)

Step 1:  Find the Linear Equation,  using the Two-Point Form equation:

y₂ - y₁
y - y₁ =  -------------   (x - x₁)
x₂ - x₁

140 - 80
y - 80 =  ---------------  (x - 80)
110 - 80

60
y - 80 =  ------  ( x - 80)
30

y - 80 = 2 (x - 80)

y = 2x - 180 + 80

y = 2x - 80  ⇒   Linear Function

Step 2:  Find the average profit (y)  for 250 (x)  units sold?

y = 2x - 80

y = 2(250) - 80

y = 500 - 80

y = 420

ANSWER:  If the company sells 250 units, the profit is Php 420.