A balloon rises 250 feet in first minute and then for each succeeding minute rises 70% as much as it did in the previous minute. How high will it be after 8 minutes

  785 ft

Step-by-step explanation:

The increases in height can be modeled by a geometric series with first term 250 and common ratio 0.7. The sum of n terms of such a series is given by ...

  Sn = 250(1 -0.7^n)/(1 -0.7)

Then the 8th term, the height after 8 minutes, will be ...

  S8 = 250(1 -.057648)/(0.3) ≈ 785.3 ft

After 8 minutes, the balloon will be about 785 feet high.

___

If it continues like that, its ultimate height will be about 833.3 feet.

connie < felicia < stew

step-by-step explanation:

stew:

we need to find the slope

m = (y2-y1)/ (x2-x1)

    = (2650-795)/(10-3)

    = 1855/7

265 words per minute

connie:

we need to find the slope

m = (y2-y1)/ (x2-x1)

we have two points (0,0) and (4,800)

m = (800-0)/(4-0)

  m = 800/4

    200 words per minute

felicia:

260 words per minute

200< 260 < 265

connie < felicia < stew