Answer: The height of the balloon in meters x seconds after it begins to ascend can be represented by the equation y = mx + b, where m is the slope (the rate of change in height) and b is the y-intercept (the initial height of the balloon).
Given that the balloon is hovering 104 meters above the ground and begins to ascend at a rate of 11 meters per second, we can substitute these values into the equation:
y = 11x + 104
This equation is in slope-intercept form, the slope (m) is 11 and the y-intercept (b) is 104. This equation represents the height of the balloon in meters x seconds after it begins to ascend.
To find the height of the balloon after 19 seconds, we can substitute x = 19 into the equation:
y = 11(19) + 104 = 209 meters
So the hot air balloon is 209 meters high after 19 seconds.
Explanation: