A movie theater make a profit Of $15 on adult ticket and $7.50 for children ticket. Write an inequality in slope intercept from that expresses when the profit is less than $15000

y < 2,000 - 2x

Step-by-step explanation:

Solution:-

- The number of adult ticket sold = x

- The number of children ticket sold = y

- The profit from a adult ticket, L1 = $15

- The profit from a adult ticket, L2 = $7.5

- The amount of profit (P) made by selling "x" adult tickets and "y" children tickets:

P = L1*x + L2*y

P = 15x + 7.5y

Where, We are to set up an equality for Profit P < $15000:

15x + 7.5y < 150,000

- Re-arrange to develop the slope-intercept form of an inequality:

7.5y < 150,000 - 15x

y < 2,000 - 2x

Where, the slope = - 2 and intercept = $2,000