Question

A video game requires at least 4 points to advance. Each solved puzzle is worth two points. Each solved riddle is worth 1 point. If x is the number of solved puzzles and y is the number of solved riddles, which graph represents the overall equation represented by this scenario (all points may not apply to the scenario)?

On a coordinate plane, a solid straight line has a negative slope and goes through (0, 2) and (4, 0). Everything below the line is shaded.
On a coordinate plane, a solid straight line has a negative slope and goes through (0, 2) and (4, 0). Everything above the line is shaded.
On a coordinate plane, a solid straight line has a negative slope and goes through (0, 4) and (2, 0). Everything to the left of the line is shaded.
On a coordinate plane, a solid straight line has a negative slope and goes through (0, 4) and (2, 0). Everything to the right of the line is shaded.
Mark this and return

Answer 1

Equation: 2x + y ≥ 4 (each puzzle 2 points, each riddle 1 point, at least 4 points).

This is the line y = −2x + 4 (through (0,4) and (2,0)), solid because ≥. Test a point such as (3,0): 2(3)+0 = 6 ≥ 4, so the side containing (3,0) is shaded.

Therefore choose: "On a coordinate plane, a solid straight line has a negative slope and goes through (0, 4) and (2, 0). Everything to the right of the line is shaded."