P=kd varies directly
If the pressure is 125 pascal when the water is 2m deep,find the pressure when it is 4.5 meters deep .
can you show me the solution?
I did, with the reservation that P = k d is actually wrong.
https://www.jiskha.com/display.cgi?id=1509414055
Sure! To solve this problem, we can use the formula for direct variation: P = kd, where P is the pressure and d is the depth. The constant of variation, k, represents how much the pressure changes for every unit change in depth.
We are given that when the water is 2 meters deep, the pressure is 125 pascals. Let's substitute these values into the formula and solve for k.
125 = k * 2
To isolate k, divide both sides of the equation by 2:
k = 125 / 2
k = 62.5
Now that we have the value of k, we can use it to find the pressure when the water is 4.5 meters deep. Let's substitute this new depth, d, into the formula:
P = 62.5 * 4.5
Calculating this gives us:
P = 281.25 pascals
Therefore, when the water is 4.5 meters deep, the pressure is 281.25 pascals.