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?

On a coordinate plane, a dashed straight line has a negative slope and goes through (0, 4) and (4, 2). Everything above and to the right of the line is shaded.

On a coordinate plane, a dashed straight line has a negative slope and goes through (0, 4) and (4, 2). Everything below and to the left of the line is shaded.

On a coordinate plane, a dashed straight line has a positive slope and goes through (negative 1, negative 4) and (1, 0). Everything to the right of the line is shaded.

On a coordinate plane, a dashed straight line has a positive slope and goes through (negative 1, negative 4) and (1, 0). Everything to the left of the line is shaded.

Answer 1

The correct graph for Felix's scenario has a negative slope and everything below and to the left of the line is shaded.

Step-by-step explanation:

A student has asked you the following 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?

The correct graph that represents this scenario is the one that has a dashed straight line with a negative slope and goes through (0, 4) and (4, 2). Everything below and to the left of the line is shaded. This is because Felix wants to spend less than $10, so the line represents the maximum amount he can spend on grapes and cereal based on their prices. Everything below the line represents the combinations of x pounds of grapes and y boxes of cereal that are cheaper than $10.