Question

A hot-air balloon starts 6 feet above the ground and then rises 20 feet each minute.

What equation gives the height h in feet as a function of time t in minutes?
A. h=61
B. h=202
С. h = 204 + 6
D. h=6+ 20

Answer 1

At starting hot-air balloon starts 6 feet.

So, at t = 0 , h = 6 feet.

Now, distance travelled per minute is 20 feet.

So, extra distance travelled in t minutes is 20t feet.

Now,

Total height = Staring height + increase in height w.r.t time.

h = 6 + 20t

Therefore, the height h in feet as a function of time t in minutes is h = 6 + 20t .

Hence, this is the required solution.