1. Brian spent a certain amount of money to set up a lemonade stand. The graph below shows the amount he earns, y, by selling x glasses of lemonade.Which of the following situations is represented by the graph below? A. Brian earned $40 initially, and for every glass of lemonade he sold, he earned $0.25. B. Brian spent $80 initially to set up the stand, and for every glass of lemonade he sold, he earned $0.20. C. Brian earned $80 initially, and for every glass of lemonade he sold, he earned $1.25. D. Brian spent $80 initially to set up the stand, and for every glass of lemonade he sold, he earned $1.05. Please help

The correct statement about the graph is (B). Brian spent $80 initially to set up the stand, and for every glass of lemonade he sold, he earned $0.20.

From the graph, we have the following points

[tex]\mathbf{(x_1,y_1) = (0,-80)}[/tex]

[tex]\mathbf{(x_2,y_2) = (400,0)}[/tex]

Calculate the slope (m)

[tex]\mathbf{m = \frac{y_2 - y_1}{x_2 - x_1}}[/tex]

[tex]\mathbf{m = \frac{0 - -80}{400- 0}}[/tex]

[tex]\mathbf{m = \frac{80}{400}}[/tex]

[tex]\mathbf{m = 0.2}[/tex]

This slope means that he sells each glass for $0.20

When x = 0, y = -80

This means that: He spent $80 initially to set up the stand

Hence, the correct statement is:

(B). Brian spent $80 initially to set up the stand, and for every glass of lemonade he sold, he earned $0.20.

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