Question

9. The height to which a balloon with hydrogen gas rises in the air varies directly as time. Given below
are some observations about the time and the corresponding height of the balloon (in metres). Find the
missing terms in the table.
Time (in minutes)
Height of the balloon (in metres)
1860
48
84​

Answer 1

Time     3           4             7         25        155

Height  36         48          84      300      1860

Step-by-step explanation:

Height ∝  Time

=> H  = K T

H = Height

K = Constant

T = time

48 = K * 4

=> K = 12

=> H  = 12T

T = 3  => H = 36

H = 84  => T = 7

T = 25 => H = 300

H = 1860 => T =  155

Time              3              4             7           25          155

Height           36           48            84        300        1860

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