In order for a pet to lose weight in a healthy manner, a veterinarian suggested an overweight large-breed dog lost 2 pounds per week. If the expression x-2y represents this situation what must be true about the value of y?
To understand what must be true about the value of y in the expression x - 2y, let's break down the given information.
The veterinarian suggested that an overweight large-breed dog should lose 2 pounds per week.
In the given expression x - 2y, x represents the initial weight of the dog, and y represents the number of weeks in which the dog has lost 2 pounds of weight.
Now, let's analyze the expression:
x - 2y
If the dog loses 2 pounds per week, and y represents the number of weeks, then 2y represents the total weight lost in y number of weeks.
Therefore, the expression x - 2y represents the initial weight x minus the weight lost in y weeks.
To answer the question, "What must be true about the value of y?", we need to consider the condition given by the veterinarian: the dog should lose 2 pounds per week.
Since y represents the number of weeks and the dog is supposed to lose 2 pounds per week, the value of y must be equal to or greater than 1.
In other words, the value of y should be 1 or any positive whole number greater than 1 to ensure that the dog loses the suggested weight of 2 pounds per week.