Answer to Question #88831 in Algebra for Sheena Jankipersad

Question

Question 1
The profit made by a company when 60 units of its product is sold is R 1 600.00. When 150 units of its products are sold, the profit increases to R 5 200.00. Assuming that the profit function is linear find its equation.

Answer 1

Let the desired linear function be

$y=kx+b$

where x is number of units, y is the profit. We need to find k and b. Make a system of equations.

$1600=60k+b$ $and$ $5200=150k+b$

Then

$3600=90k$ $k=40$

Then

$b=5200-40*150=-800$

Then

$y=40x-800$

Answer: y=40x-800