Question

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?​

Answer 1

See Explanation

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:

`(x_1,y_1) = (5,13.5)`

`(x_2,y_2) = (10,27)`

The slope of the graph is calculated as follows:

`m = (y_2 - y_1)/(x_2 - x_1)`

`m = (27 - 13.5)/(10 - 5)`

`m = (13.5)/(5)`

`m = 2.7`

The equation of the graph is calculated as follows:

`y - y_1 = m(x - x_1)`

Substitute values for m, x1 and x2

`y - 13.5 = 2.7 * (x - 5)`

Open Brackets

`y - 13.5 = 2.7x - 13.5`

Collect Like Terms

`y = 2.7x - 13.5 + 13.5`

`y = 2.7x`

The above equation can be used to determine the graph

See Attachment