Question

The equation y = 40 + 3x represents the amount a company will pay to have stickers made, where x represents the item published and y represents the total cost in dollars in dollars. the equation y = 5x represents the company's income from selling the sticker, where y represents the money earned in dollars and x represents the number of items sold.5. At at one point the lines intersect?6. when will the company make a profit?

Answer 1

we have the equations

y=40+3x -----> blue line

and

y=5x -----> red line

Part 5

intersection point

Equate both equations

5x=40+3x

5x-3x=40

2x=40

x=20

Find the value of y

y=5(20)=100

the intersection point is (20,100)

Part 6

when will the company make a profit?​

the company make a profit when 5x > 40+3x

Remember that

For x=20------> the profit is zero

so

the company make a profit when x>20

Verify

solve the inequality

5x > 40+3x

5x-3x > 40

2x > 40

x > 20 ----> is ok