which graph represents viable values for y = 2x, where x is the number of pounds of rice scooped and…

which graph represents viable values for y = 2x, 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?

which graph represents viable values for y = 2x, 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

Explanation:

Step1: Recall the equation of a line

The equation is $y = 2x$, which is in the form $y=mx + b$ where $m = 2$ (slope) and $b = 0$ (y - intercept). A line with $y=2x$ passes through the origin $(0,0)$ and has a slope of 2 (for every 1 - unit increase in $x$, $y$ increases by 2 units).

Step2: Analyze the graphs

We need to find a graph that has a line passing through the origin and with a positive slope. The slope of 2 means that if we start at the origin and move 1 unit to the right along the x - axis, we move 2 units up along the y - axis.

Answer:

The graph that passes through the origin $(0,0)$ and has a positive slope (rises 2 units for every 1 unit run) represents the equation $y = 2x$. Without seeing the specific options clearly from the provided image, the correct graph should have these characteristics: start at the point $(0,0)$ and for each increase of 1 in the $x$ - value, the $y$ - value increases by 2.