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)|3|4|_|25|.| height of the balloon (in metres)|_|48|84|_|1860|.
Answers
Answer:
Given that when the time is 4 min, then the height is 48 meters.
We will find the height of a balloon in the air when time is 1 min by dividing the height of 48 meters by the time given.
484=12 meters484=12 meters
We will now find the height of a balloon in the air when time is 3 minutes from the above value.
3×12=36 meters3×12=36 meters
Again we will use the above value of 12 meters to find the height of a balloon in the air when time is 25 minutes.
25×12=300 meters25×12=300 meters
We know that when the height is 48 meters, then the time is 4 min.
We will now find the minutes the balloon takes to be at height 1 meter in the air by dividing the 4 min by the height given.
448=112 min448=112 min
We will now find the time a balloon takes to be at height 84 meters in the air from the above value.
84×112=7 min84×112=7 min
Again we will use the above value of
112112
minutes to find the time a balloon takes to be at the height of 1860 meters in the air.
1860×112=155 min1860×112=155 min
Therefore, we will now use the above values to fill the missing places of the given table.
Time (in minutes)34725155Height of a balloon (in meters)3648843001860