A karate club is having a pancake breakfast to raise money for a new gym equipment the graph shows the amount of money that will be raised for different numbers of tickets sold the club spent $175 on supplies for the breakfast if 20 tickets have been sold so far how many more tickets must be sold to cover the cost of supplies

1 answer

To determine how many more tickets need to be sold, we first need to find out how much money has already been raised from the 20 tickets sold.

Assuming you have a graph or formula that describes how much money is raised per ticket, you would typically calculate:

  1. The total amount of money raised from selling 20 tickets (let's denote this as \( R(20) \)).
  2. Then, compare this amount to the cost of supplies, which is $175.

The required condition is:

\[ R(20) + R(x) \geq 175 \]

Where \( R(x) \) is the revenue from selling an additional \( x \) tickets.

Next, you would attribute the revenue per ticket from the graph or data you have and calculate the number of additional tickets needed so that the total revenue equals or exceeds $175.

If we let \( p \) be the price of each ticket, then:

\[ R(20) = 20p \] And the additional revenue needed would be:

\[ 175 - R(20) = 175 - 20p \]

To cover the remaining cost, you'd need to sell enough tickets \( n \) to fulfill:

\[ np \geq 175 - 20p \]

Thus, if you divide both sides by \( p \):

\[ n \geq \frac{175 - 20p}{p} \]

From this, you can calculate \( n \) based on the ticket price \( p \).

If you provide me the ticket price or reference any specific amount from the graph, I can help you compute exactly how many more tickets need to be sold!