Which situation can be represented by the equation y = 12 x ?
The equation y = 12x represents a situation where there is a proportional relationship between two variables, y and x. In this equation, y is the dependent variable and x is the independent variable.
To understand the situation represented by this equation, we need to consider what the variables y and x represent. In this case, x typically represents a quantity or value that can be varied or manipulated, while y represents the corresponding value that depends on x.
In the equation y = 12x, the coefficient 12 indicates that y is 12 times greater than x. This means that for every unit increase in x, y increases by 12 units. In other words, the relationship between y and x is linear, and the graph of this equation is a straight line passing through the origin (0,0) with a slope of 12.
In practical terms, this equation could represent various situations. For example, if x represents the number of hours worked and y represents the amount of money earned, then y = 12x would indicate that the person earns $12 for every hour worked. Similarly, if x represents the number of items produced and y represents the total cost, then y = 12x would mean that the cost of producing each item is $12.
Overall, the equation y = 12x represents a scenario where there is a constant ratio between two variables, with y being 12 times greater than x.