a balloon is released from the top of a platform that is 50 meters tall. the balloon rises at the rate of 4 meters per second. write an equation in slope-intercept form that tells the height of the balloon above the ground after a given number of seconds.
slow intercept form is y = mx + b
y = dependent variable = height of balloon (h)
x = independent variable = time (t)
m = slope = rise of balloon height with respect to time of 4 m/s
b = y-intercept = initial height of 50m
thus, putting it all together, we get . . .
h = (4 m/s)t + (50m)