Answer:
J = y - 88 = -4(x-3); 104 feet
Explanation:
Height = 118 + 88 = 206
F y-4 = -3 x 88 = -264 -99 = - 363 where (1 -99) = 99x -3 = 97
Here when x = 0 y = -264+97= y-167 when 241ft so the first one is incorrect.
As 241/167 = y = 1 4/10
G y-88 = -3(x-4) = -3 x -4 = 12
-3 * 12 = -36 when y -88 looking more correct you can see in the graph attached.
As 97/-36 =-2.69 when y = -88
So when x = 7 seconds we plug in 7/-2.69 = -2.60
-2.60 is the same ratio as 4 extra seconds.
-88/-2.69 x = 32.71
We plug in 118 feet = 7 seconds 118/32.71 and find scale 3.6
We try others
H = y-88 = -3(x-4) = 79 feet We plug 97/79 = 1.23 = 1 +2/10 when y = -88
So when x = 7 seconds we plug 7/1.23 = 5.69 and it is no longer negative.
We check 5.69 = 6 when y = -88
We divide again -88/5.69 = -15.4 = 15 showing 7 seconds for every 2 units + 0.2 = 7
So this could be correct x = 1 2/10
J = y-88 = -4(x-3) =104 feet
-4 x -3 = 12 -4-12 = -16 when x = 1 y = 104ft
-4 x 20 = x = -20 y =-88
this is 1:4.2 ratio and looks more like it.
When 7 seconds show on x line on the second graph 30 is shown on the y graph.
This means the balloon descends 104 feet and y = 4 when x = 1
You will see this on the second attachment for J
and compare to G the first attachment.