A balloon descends at a rate of 3 feet
per second. After 4 seconds it is 88 feet
above the ground. Write the equation
in point-slope form that models the
situation. Then find the height of the
balloon after 7 seconds.
F = y - 4 = -3(x-88); 241 feet
G = y - 88 = -3(x-4); 97 feet
H = y - 88 = -3(x-4); 79 feet
J = y - 88 = -4(x-3); 104 feet

J = y - 88 = -4(x-3); 104 feet

Step-by-step 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.