If k is a constant, how will a change in volume change the pressure?
Choose one set of numbers. Assign one of them to represent P and the other to represent V. What happens to P if V is assigned the larger number? What happens to P if V is assigned the lower number?
Observe the relationship between P and V. Is it a directly proportional relationship or an inversely proportional relationship?
The first two lines ask a question. If P goes up, V goes down.
I don't know what you want for the rest of the post.
Does the graph show a proportional relationship? Explain.
To determine how a change in volume affects pressure, we can use the concept of Boyle's Law, which states that for a given amount of gas at a constant temperature, the pressure and volume are inversely proportional to each other.
Let's assign the value of constant k to represent the initial pressure, and let's assign another number, x, to represent the initial volume. So we have P = k and V = x.
Now, we can observe what happens to the pressure, P, when the volume, V, changes.
If we assign a larger number, y, to V (so V = y), what happens to P? According to Boyle's Law, as V increases, P must decrease in order to maintain the inverse proportionality. Therefore, P will decrease.
On the other hand, if we assign a smaller number, z, to V (so V = z), what happens to P? In this case, as V decreases, P must increase to maintain the inverse proportionality. Therefore, P will increase.
Based on these observations, we can conclude that the relationship between pressure, P, and volume, V, is inversely proportional. As the volume increases, the pressure decreases, and as the volume decreases, the pressure increases.