A hot air balloon was at a height of 60 feet above the ground when it began to ascend. The balloon climbed at a rate of 15 feet per minute.
a) make a table that shows the height of the air balloon after climbing for 1,2,3,&4 minutes.
minutes:1 2 3 4
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height:15 30 45 60
(ft)climbed
b)let T represent the time in minutes since the balloon began climbing. wRITE AN ALGEBRAIC EQUATION FOR THE sequence that can be used to find height,h,of the balloon after T minutes.
h=15T
c) use your equation from part b to find the height, in feet, of the hot air balloon after climbing for 8 minutes.
h=15T
h=15(8)
h=120 ft
Are these correct. Thanks for taking the time to check my work
Yes it's correct
Yes, your answers are correct! The table you created in part a) accurately shows the height of the hot air balloon after climbing for 1, 2, 3, and 4 minutes. In part b), you correctly wrote an algebraic equation, h = 15T, to represent the sequence that can be used to find the height, h, of the balloon after T minutes. And in part c), you used that equation to find the height of the balloon after climbing for 8 minutes, which is indeed 120 feet. Well done!
a) Your table is correct. It shows the height of the air balloon after climbing for 1, 2, 3, and 4 minutes.
b) Your algebraic equation is also correct. The equation h = 15T represents the sequence that can be used to find the height, h, of the balloon after T minutes.
c) Your calculation is correct. After climbing for 8 minutes, the height of the hot air balloon would be 120 feet.
Overall, your work is correct. Well done!
a) The table you provided is correct. It shows the height of the hot air balloon after climbing for 1, 2, 3, and 4 minutes.
b) Your algebraic equation for the sequence is correct. The equation h = 15T represents the height, h, of the balloon after T minutes.
c) To find the height of the hot air balloon after climbing for 8 minutes, you can substitute T = 8 into the equation:
h = 15(8)
h = 120
So, the height of the hot air balloon after climbing for 8 minutes would be 120 feet.
Your work is correct! Well done!