You head to the gym for a workout and get on a treadmill. You set a goal on the treadmill to burn 300 calories while running at a constant speed. The treadmill tells you how many total miles you have run, along with the number of calories you have left to burn. At one point during your workout, you look at the treadmill screen, and it tells you that after running 0.6 miles, you have 255 calories left to burn to meet your goal. Assume that there is a constant rate of change between the number of calories you burn and the number of miles you have been running.

Ahigh-altitude spherical weather balloon expands as it rises, due to the drop in atmospheric pressure. suppose that the radius r increases at the rate of 0.02 inches per second, and that r = 36 inches at time t = 0. determine the equation that models the volume v of the balloon at time t, and find the volume when t = 360 seconds. v(t) = 4π(0.02t)2; 651.44 in3 v(t) = 4π(36 + 0.02t)2; 1,694,397.14 in3 v(t) = four pi times the product of zero point zero two and t to the third power divided by three.; 4,690.37 in3 v(t) = four pi times the quantity of thirty six plus zero point zero two t to the third power divided by three.; 337,706.83 in3