Writing and Graphing Equations in Two Variables — Quiz

Question 3 • Algebra I

Which graph represents viable values for y is equal to 2 x , where x is the number of pounds of rice scooped and purchased from a bulk bin at the grocery store and y is the total cost of the rice?

Answer

Image with description On a coordinate plane, a straight line with a positive slope begins at point (0 comma 0), and ends at point (2.5 comma 5).

Image with description On a coordinate plane, a straight line with a positive slope begins at point (negative 2 point 5 comma negative 5), crosses the x- and y-axis at point (0 comma 0), and ends at point (2 point 5 comma 5).

Image with description On a coordinate plane, blue diamonds appear at points (0 comma 0), (1 comma 2), (2 comma 4).

Image with description On a coordinate plane, blue diamonds appear at points (negative 2 comma negative 4), (negative 1 comma negative 2), (0 comma 0), (1 comma 2), (2 comma 4).

Explanation

The equation y = 2x means the cost is $2 for each pound of rice. Since a customer cannot buy a negative number of pounds, viable values have x ≥ 0; the cost is also nonnegative. Choice A shows the line starting at (0, 0) and extending through positive values such as (2.5, 5), so it represents the viable values.

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