which scenario is most likely the one shown on the graph? the total amount of money in the cash register, y…

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 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

Answer

Explanation:

Step1: Determine the equation - form of a linear relationship

The general form of a linear equation is $y = mx + b$, where $b$ is the y - intercept and $m$ is the slope.

Step2: Analyze each scenario for the y - intercept and slope

Scenario 1: Money in cash register

The y - intercept $b = 50$ (the initial amount of change and small bills) and the slope $m = 100$ (since each $x$ $100 - dollar$ bill adds $100$ to the total amount $y$), so $y=100x + 50$.

Scenario 2: Puzzle pieces

A 50 - piece puzzle is a constant, but if $x$ is the number of 100 - piece puzzles, $y = 100x+50$ only makes sense if we assume there is always one 50 - piece puzzle, but the language implies we are just combining different types of new puzzles, and it's not clear there is a fixed 50 - piece puzzle in all cases.

Scenario 3: Weight of barbell

The bar weighs 50 pounds (y - intercept $b = 50$) and each $x$ 100 - pound weight adds 100 pounds to the total weight $y$, so $y = 100x+50$.

Scenario 4: Calories in salad

The vegetables have 50 calories (y - intercept $b = 50$) and each $x$ ounce of salad dressing at 100 calories per ounce adds 100 calories to the total calorie count $y$, so $y=100x + 50$.

Step3: Consider real - world context

The first scenario about the cash register is the most straightforward in terms of a linear relationship where the initial amount of 50 dollars in change and small bills is a fixed amount and each $100 - dollar$ bill is a discrete addition.

Answer:

the total amount of money in the cash register, y, containing $50 in change and small bills and x $100 bills