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To the lovers of math: challenge : please help
A company manufactures high-powered fountains that can be used to create elaborate water shows set to light and music.The company makes three models of
fountains, each of which can launch a vertical stream of water to a different height, as indicated in the table below. Model A Model B Model C
height 77 100 240
time to fall (s) 2.194, ----, ---- 
initial velocity 70.2 , ----, 123.9
complete the following tasks, filling in the missing values in the table as you find them:(1)Find the time water would take to fall from each height in the table back to its starting level.(2)Find the initial upward velocity required for fountain B to launch the water to its maximum height(3)Create a function that will give you the minimum initial upward velocity ,v ,required to launch water to any given height , h. thank you



Answer :

Kireeth

I am only in the seventh grade so it might not be right, but this is what I would do:

Set up a proportion: 77/2.194/70.2 = 100/x/y = 240/z/123.9

Then solve for x: if 77 equals 100, that means 2.194 is 77% of x. So x equals 2.849350649

*the 350649 repeats

Then solve for y: Like mentioned before 70.2 is going to only be 77% of y, so if you set that up in a proportion, it is: 70.2/77 = y/100. So when you solve you get 91.16883116883117...

Then finally we solve for z: 100 is only 41.6% of 240, so that means 2.849350649 is only 41.6% of z. So then we set it up as a proportion: 141.6/100 = z/2.849350649, then we solve. It equals 4.034680518984.

Sorry if my answer was redundant, but hope this helped!