A hot air balloon is tethered to the ground by rope that is 200 feet long. The balloon floats into the sky at a rate of 4 feet per second. The equation y=4x gives the height, y, of the balloon x seconds after leaving the ground. Graph the function What’s the domain? What’s the range? Interpret the x and y intercepts.

Step-by-step explanation:y is the height of the balloon.  x is the time in seconds.The balloon starts on the ground, so the smallest value of y is 0.  We know the rope is 200 feet long, so the biggest value of y is 200.  So the range is 0 ≤ y ≤ 200.Find the value of x at each end of the range.When y = 0:0 = 4xx = 0When y = 200:200 = 4xx = 50So the domain is 0 ≤ x ≤ 50.The x and y-intercept is (0, 0).  This means the balloon is initially on the ground.Graph: desmos.com/calculator/eaavtvbuxm