Question

Please help The profit P, of a fundraising event can be modeled by the equation p= 50x-2000, where x is the number of tickets sold. What does the 50 in this expression represents?

A. The number of tickets sold
B. The number of people that attended
C. The profit from the event
D. The cost per ticket

Answer 1

D. The cost per ticket

Explanation:

• You might remember that an equation in the form
  `y=mx+b` is in slope-intercept form, where m is the slope and b is any number constant.
• For this equation,
  `p=50x-2000` , y is p, the slope m is 50 and b is -2000
• The slope tells how much the profit is changing with each ticket
• Slope simply means "the amount of change"
• So if we have 2 tickets sold, the profit is
  `p=50*100-2000=3000`
• What about 101?
  `p=50*101-2000=3050`
• So the profit is changing by 50 with every ticket
• That means each ticket costs 50 whatever currency
• It will save you trouble to just remember that in a profit equation, the slope is always the cost per item.