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Lola bought x pencils that cost $0.25 each and y erasers that cost $0.50. She spent less than $3. Which graph represents Lola’s purchase?

2 Answers

4 votes
You need to attach an image. It would be the one where the x-axis is increasing by 0.25 each whole number, and where the y-axis is increasing by 0.50 each whole number.
User Sunil Shah
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5 votes

Answer with explanation:

Cost of a Pencil = $ 0.25

Cost of a Eraser = $ 0.50

⇒Total Amount Spent on Pencil and Eraser < 3.

⇒Cost of x Pencil +Cost of y Eraser < 3

⇒ 0.25 x + 0.50 y < 3


\Rightarrow (25 x)/(100)+(50y)/(100)< 3\\\\\Rightarrow 2 5 x +50 y < 300\\\\\Rightarrow x +2 y < 12\\\\\Rightarrow (x)/(12)+(2y)/(12)<1\\\\\Rightarrow (x)/(12)+(y)/(6)<1

⇒Put, x=0 and y=0,to know which side of the graph you have to shade.

0+0< 12⇒0< 12

Shade that part under line, which contains origin.

Lola bought x pencils that cost $0.25 each and y erasers that cost $0.50. She spent-example-1
User Steve Crook
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6.9k points