tori1234
Answered

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?

Verified Answer :

yeahboi1

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.

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

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

⇒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.

View image Anonymous

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