Would someone please check my answers?
If x and y vary directly, as x decreases, what happens to the value of y?
It decreases also
If x and y vary inversely, as y increases, what happens to the value of x?
It decreases
If x and y vary directly, as y increases, what happens to the value of x?
It increases also
If x and y vary inversely, as x decreases, what happens to the value of y?
It increases
Agree on all,
Sure! Let's go through each question one by one and verify the answers.
1. If x and y vary directly, as x decreases, what happens to the value of y?
To check this, you can recall the definition of direct variation. In a direct variation, as one quantity increases or decreases, the other quantity changes in the same direction. So, if x is decreasing, and x and y vary directly, it means that y will decrease as well. Thus, the answer "It decreases also" is correct.
2. If x and y vary inversely, as y increases, what happens to the value of x?
In an inverse variation, as one quantity increases, the other quantity changes in the opposite direction. Therefore, as y increases, x will decrease. The answer "It decreases" is correct.
3. If x and y vary directly, as y increases, what happens to the value of x?
Again, based on the definition of direct variation, as y increases, x will also increase. Therefore, the correct answer is "It increases also."
4. If x and y vary inversely, as x decreases, what happens to the value of y?
In an inverse variation, as one quantity decreases, the other quantity changes in the opposite direction. So, as x decreases, y will increase. The answer "It increases" is correct.
Based on the explanations above, all of your answers are correct!