Write the statement as a power function equation. Use k for constant of variation if one is not given.
a. Charles's law states the volume V of an enclosed ideal gas at a constant pressure varies directly as the absolute temperature T.
b. The volume V of a circular cylinder with a fixed height is proportional to the square of its radius.
c. the current I in an electrical circuit is inversely proportional to the resistance R, with constant of variation V.
I can't figure out how to do this. I was looking at my old notes but can't seem to come up with something.
a. V = kT
b. V = kr^2
c. I = V/R
No worries! I can help you with that. Let's go through each statement and write the power function equation for each scenario.
a. Charles's law states that the volume V of an enclosed ideal gas at a constant pressure varies directly as the absolute temperature T. Therefore, we can write the equation as:
V = kT
Here, V represents the volume, T represents the absolute temperature, and k represents the constant of variation.
b. The statement says that the volume V of a circular cylinder with a fixed height is proportional to the square of its radius. In this case, we can write the equation as:
V = k * r^2
Here, V represents the volume, r represents the radius, and k represents the constant of variation.
c. The statement suggests that the current I in an electrical circuit is inversely proportional to the resistance R, with a constant of variation V. For this scenario, we can write the equation as:
I = V/R
Here, I represents the current, R represents the resistance, and V represents the constant of variation.
Remember, in this case, we don't need to use the power function notation (e.g., x^a) since it is given that the relationship is inverse proportionality.
If you have any further questions, feel free to ask!
Oh? Now I get it. thanks
Pre-cal?
V=kT
V=kr^2
I=V(1/R)