Question

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?

Answer 1

the second one would be the solution, B

Explanation:

Answer 2

Option 2 is the correct graph.

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
`y= (1)/(2)(-x+8)`

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.