Which statement is always a correct conclusion about the values x and y in the function y=x-3?
a. The value of x is always 3 less than the value of y
b. The value of y is always less than the value of x
c. When the value of x is positive, the value of y is also positive
d. As the value of x increases, the value of y decreases.
I got A is it right
Nope. better read more carefully.
y is x-3, so (b)
OH Thank you
To determine which statement is a correct conclusion about the values of x and y in the function y = x - 3, we can analyze the equation and understand the relationship between x and y.
In the given equation, y = x - 3, we can see that the value of y is obtained by subtracting 3 from the value of x.
Now let's evaluate each statement:
a. The value of x is always 3 less than the value of y.
To check if this statement is true, we can substitute values for x and evaluate y. For example, if x = 5, then y = 5 - 3 = 2. So, the value of x is indeed 3 less than y. However, if we take x = 0, then y = 0 - 3 = -3, which means that x is not always 3 less than y. Therefore, statement a is not always correct.
b. The value of y is always less than the value of x.
This statement is not true because if we take x = 0, then y = 0 - 3 = -3. In this case, it is not true that the value of y is always less than x.
c. When the value of x is positive, the value of y is also positive.
To check this statement, we need to analyze the equation y = x - 3. If x is positive, it means that x > 0. When we substitute a positive value for x, let's say x = 5, then y = 5 - 3 = 2, which is also positive. Therefore, statement c is true.
d. As the value of x increases, the value of y decreases.
In the equation y = x - 3, we can see that as x increases, the value of y also increases because x - 3 is getting larger. Therefore, statement d is not correct.
Based on this analysis, the correct conclusion about the values of x and y in the function y = x - 3 is:
c. When the value of x is positive, the value of y is also positive.