00:01
We're given two scenarios where cost varies directly to volume and then cost varies directly to weight.
00:07
So we need to find the volume of our cylinder.
00:11
We're given the diameter and our height.
00:14
And then we use that information with the cost to find our equation so we can find the cost for a bigger jar.
00:20
And then we need to use the weight and the cost to find an equation and then find the cost for the bigger jar.
00:29
So first we're going to find our volume of our cylinder.
00:33
So volume is equal to pi r squared times height.
00:37
So volume is equal to pi times 1 .5 squared times 5.
00:43
So this comes out to be pi times 1 .5 squared times 5.
00:51
So our volume is approximately 35 .3 .34 inches cubed.
01:01
So now our equation, since varies directly, we have cost as our y and volume is our x.
01:10
So we have our cost is equal to k times our volume.
01:15
We have our cost, which is 289.
01:18
We don't know our k, but we know our volume is 35 .34.
01:24
So we divide both sides by 35 .34.
01:28
And we get that our constant is close to 0 .082.
01:38
So our equation is our cost is equal to 0 .082 times our volume.
01:47
So 0 .082.
01:49
So now we need to find the volume of the bigger jar...