Assuming that all $45 will be spent, no more no less, is will be equal to the sum of what is spent on candy and socks.
Ley x represent the number of bag of candy bought and let y be the number of fuzzy socks bought.
Since each bag of candy costs $2.50, the total spent on candy is:
[tex]2.5x[/tex]Since each fuzze sock costs $7.50, the total spent on socks is:
[tex]7.5y[/tex]Adding them, we have to get a value equal to the total spent, $45, so this is the equation that represents the situation:
[tex]2.5x+7.5x=45[/tex]The x intercept is the x value when y = 0:
[tex]\begin{gathered} 2.5x+7.5\cdot0=45 \\ 2.5x=45 \\ x=\frac{45}{2.5} \\ x=18 \end{gathered}[/tex]The y intercept is the y value when x = 0:
[tex]\begin{gathered} 2.5\cdot0+7.5y=45 \\ 7.5y=45 \\ y=\frac{45}{7.5} \\ y=6 \end{gathered}[/tex]Since x is the number of bag of candy bought and y is the number of fuzzy socks bought:
- the x-intercept represents the situation where all the money was spent on bag of candy and no fuzzy sock was bought.
- the y-intercept represents the situation where all the money was spent on fuzzy socks and no bag of candy was bought.
