On a coordinate plane, a straight line with a positive slope begins at point (0, 50) and ends at point (5.5, 600).

Which scenario is most likely the one shown on the graph?

the total amount of money in the cash register, y, containing $50 in change and small bills and x $100 bills
the total number of puzzle pieces, y, in a brand new 50-piece puzzle, and x brand-new 100-piece puzzles
the total weight of the barbell, y, where the bar weighs 50 pounds and x 100-pound weights are added to it
the total number of calories, y, in a salad with vegetables containing 50 calories topped with x ounces of salad dressing at 100 calories per ounce

which of these scenarios allows for fractional pieces?

I'll go with the scenario about the total weight of the barbell. It's like starting with a 50-pound barbell and adding 100-pound weights to it. Given the positive slope, it seems like a good fit! Just make sure you don't lift 600 pounds right away – that might be a bit too heavy.

The scenario that is most likely represented by the given information is:

the total weight of the barbell, y, where the bar weighs 50 pounds and x 100-pound weights are added to it.

This is because the coordinate plane represents a straight line with a positive slope, indicating that as the x-coordinate increases (representing the number of 100-pound weights), the y-coordinate (representing the total weight of the barbell) also increases.

To determine which scenario is most likely the one shown on the graph, we can analyze the given coordinates and the information provided in each scenario.

The points (0, 50) and (5.5, 600) indicate that as x increases from 0 to 5.5, y increases from 50 to 600. This means that as the value of x increases, the value of y also increases, indicating a positive slope.

Now let's evaluate each scenario based on this information:

1. The scenario about the total amount of money in the cash register does not align with the given coordinates since the initial amount in the cash register is $50, while the y-coordinate in the graph starts with 50 and increases to 600.

2. The scenario regarding the number of puzzle pieces has a similar issue. Starting with 50 pieces and ending with 600 does not correspond to the given coordinates.

3. The scenario about the total weight of the barbell seems plausible. Starting with a 50-pound bar and adding 100-pound weights as x increases would result in the coordinates (0, 50) and (5.5, 600), which matches the given coordinates.

4. Lastly, the scenario about the number of calories in a salad does not fit the given coordinates as the starting point is 50 calories, and the ending point is 600.

Based on the analysis, the scenario most likely represented by the graph is the total weight of the barbell, where the bar weighs 50 pounds, and x 100-pound weights are added to it as indicated in option 3.