The number of tickets Brianna can buy for a sports fundraiser varies inversely to the price of each ticket. Brianna could buy 25 tickets at $5 each.

Write the equation that relates the number of tickets, N, that Brianna can buy to the price, p, of each ticket.

How many tickets could Brianna buy if the price of each ticket was $2.50?

Part 1)

Part 2)

Step-by-step explanation:

Part 1) Write the equation

we know that

A relationship between two variables, x, and y, represent an inverse variation if it can be expressed in the form or

In this problem

Let

p ----> the price of each ticket

N ---> the number of tickets

so

we have

For N=25, p=$5

Find the value of k

substitute the given values

so

The equation is equal to

Part 2) How many tickets could Brianna buy if the price of each ticket was $2.50?

For p=$2.50

substitute the value of p in the equation and solve for N

correct answer is infinitely many solutions

step-by-step explanation:

2(2x + 3) = -4 + 2(2x + 5)

solving the above equation:

4x + 6 = -4 +4x +10

combining like terms

4x -4x = -4+10-6

0=0

since both sides are 0=0, we end up into true statement it means it has infinite many solutions.

so correct answer is infinitely many solutions