Sandy's 8th grade class receives $13.50 for every 5 boxes of chocolates that they sell. Which graph shows this relationship with the same unit rate?​

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Answer:

See Explanation

Step-by-step explanation:

Incomplete Question: This question requires options

Let the amount received be represented with y

Let the number of boxes be represented with x

From the question, we have that:

x = 5 ; y = 13.50

Multiply the values of x and y by 2Similarly,

x = 10; y = 27

This gives:

[tex](x_1,y_1) = (5,13.5)[/tex]

[tex](x_2,y_2) = (10,27)[/tex]

The slope of the graph is calculated as follows:

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

[tex]m = \frac{27 - 13.5}{10 - 5}[/tex]

[tex]m = \frac{13.5}{5}[/tex]

[tex]m = 2.7[/tex]

The equation of the graph is calculated as follows:

[tex]y - y_1 = m(x - x_1)[/tex]

Substitute values for m, x1 and x2

[tex]y - 13.5 = 2.7 * (x - 5)[/tex]

Open Brackets

[tex]y - 13.5 = 2.7x - 13.5[/tex]

Collect Like Terms

[tex]y = 2.7x - 13.5 + 13.5[/tex]

[tex]y = 2.7x[/tex]

The above equation can be used to determine the graph

See Attachment

Ver imagen MrRoyal