Question

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. 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. a). Sketch the graph that represents the situation and label the intercepts. Use one axis to represent the number of bags of popcorn and the other axis to represent the number boxes of candy.b). Explain your graph.

Answer 1

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

`=(9)/(2)=\text{\$}4.5`

The equation representing the situation is

`9x+4.5y=45`

a) The graph representing the situation is

The intercepts are

`\begin{gathered} x-intercept:\text{ \lparen5,0\rparen} \\ y-intercept:\text{ }(0,10) \end{gathered}`

b) From the graph:

The graph explains that;

Megan bought 5 bags of popcorn and 10 boxes of candy