Lashawn creates a website

Question

LaShawn designs websites for local businesses. He charges $25 an hour to build a website and charges $15 an hour to update websites once he builds them. He wants to earn at least $100 every week, but he does not want to work more than 6 hours each week. What is a possible solution to describe how many hours LaShawn can spend building a website (x) and updating a website (y) in a week? A (1, 4) B (1, 6) C (2, 3) D (3, 3)

Answer 1

Let x = the number of hours spent building a website

Let y = the number of hours spent updating a website

25x + 15y ≥ 100

x + y ≤ 6       Multiply this equation by -25 and add it to the previous equation.

-25x - 25y = -150

25x + 15y = 100

          -10y= -50

               y = 5 hours

x + y = 6

x + 5 = 6

      x = 1 hour

A(1,4)  1 + 4 ≤ 6 and  25(1) +15(5) = $100

D(3,3) 3 + 3 ≤ 6 and 25(3) + 15(3) = 120 ≥ $100