Solution:
Given that;
Megan and her friends went to the movies.
Megan took $45 with her to spend on her favorite items so she could share with her friends. Megan loves both popcorn and candy
Let x represent the number of bags of popcorn bought
Let y represent the number of boxes of candy bought
The price for each bag of popcorn was $9. The price of each box of candy is half the price of a bag of popcorn, i.e.
The price of a box of candy will be
[tex]=\frac{9}{2}=\text{\$}4.5[/tex]
The equation representing the situation is
[tex]9x+4.5y=45[/tex]
a) The graph representing the situation is
The intercepts are
[tex]\begin{gathered} x-intercept:\text{ \lparen5,0\rparen} \\ y-intercept:\text{ }(0,10) \end{gathered}[/tex]
b) From the graph:
The graph explains that;
Megan bought 5 bags of popcorn and 10 boxes of candy
