Question

George is shopping at the grocery store and sees that granola bars are $4.25 a box. A sign near the granola bars states that if you purchase more than 4 boxes, each box will cost $3.50.

George scribbles down the function that models the cost of purchasing x boxes of granola bars, and draws its graph.

What features does George's correct graph show?

Drag and drop the choices into the correct locations. Answers may be used more than once.

(2 points)
The x-axis is labeled , and the y-axis is labeled . The first branch of his graph shows a closed circle at the origin and circle at . The second branch of his graph shows circle at that acts as the endpoint of a ray whose slope is .​​​​​​​

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Answer 1

x-axis: number of boxes (x)
y-axis: cost (dollars)

First branch: closed circle at the origin (0, 0) and a closed circle at (4, 17) [since 4.25·4 = 17].

Second branch: open circle at (4, 14) [since 3.50·4 = 14] that is the endpoint of a ray with slope 3.5.