We are given the formula for profit made from each magazine sold:
[tex]\[ p = \frac{m}{n} \][/tex]
Where:
- [tex]\( p \)[/tex] is the profit made from each magazine sold
- [tex]\( m \)[/tex] is the money they want to raise
- [tex]\( n \)[/tex] is the number of magazines sold
We need to rewrite the formula to solve for [tex]\( n \)[/tex], the number of magazines the students need to sell.
To do this, we need to isolate [tex]\( n \)[/tex]. Here are the steps:
1. Start with the given formula:
[tex]\[ p = \frac{m}{n} \][/tex]
2. Multiply both sides of the equation by [tex]\( n \)[/tex] to eliminate the denominator on the right-hand side:
[tex]\[ p \cdot n = m \][/tex]
3. To solve for [tex]\( n \)[/tex], divide both sides by [tex]\( p \)[/tex]:
[tex]\[ n = \frac{m}{p} \][/tex]
Now we have the formula to determine the number of magazines the students need to sell:
[tex]\[ n = \frac{m}{p} \][/tex]
Given that the profit per magazine ([tex]\( p \)[/tex]) is $5.50, we plug in this value:
[tex]\[ n = \frac{m}{5.50} \][/tex]
This formula allows the students to calculate the number of magazines they need to sell to raise the desired amount of money ([tex]\( m \)[/tex]).
