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Felix bought x pounds of grapes that cost $1.25 per pound and y boxes of cereal that cost $2.50 per box. He spent less than $10. Which graph represents this scenario?

Felix bought x pounds of grapes that cost 125 per pound and y boxes of cereal that cost 250 per box He spent less than 10 Which graph represents this scenario class=
Felix bought x pounds of grapes that cost 125 per pound and y boxes of cereal that cost 250 per box He spent less than 10 Which graph represents this scenario class=
Felix bought x pounds of grapes that cost 125 per pound and y boxes of cereal that cost 250 per box He spent less than 10 Which graph represents this scenario class=
Felix bought x pounds of grapes that cost 125 per pound and y boxes of cereal that cost 250 per box He spent less than 10 Which graph represents this scenario class=

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stephaniesspc17

Answer:

the second one would be the solution, B

Step-by-step explanation:

Answer:

Option 2 is the correct graph.

Step-by-step explanation:

Felix bought x pounds of grapes that cost $1.25 per pound.

So the total amount spent on grapes = $(1.25x)

Felix bought y boxes of cereal that cost $2.50 per box.

So total amount spent to buy cereal = $(2.50y)

He spent less than $10 represents an inequality as

1.25x + 2.50y < 10

By dividing the inequality by 1.25 we get

x + 2y < 8

Now we draw this inequality on graph then we will show it by a dotted line and area will be shaded under the line.

If we rewrite the equation of line as x + 2y = 8 [tex]y= \frac{1}{2}(-x+8)[/tex]

Here the y intercept of the line is 4, which is shown in graph number 1 and 2 both.

But graph representing dotted line, shaded area below the line and y intercept = 4 is, the graph number 2 only.

Therefore Option 2 is the solution.

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