DETAILS MY NOTES ASK YOUR TE volume (in gallons) of water in a tank is recorded over --minuteintervals in the table below. Consider volume V(t) to be a function of time t. time 0.5 1.5 2 ( min 2.5 3 vol (gal) 5.0 5.3 4.7 1.7 2.7 4.2 5.0 (a) How much does the volume of water change between minute 1.5 and minute 3? gal (b) Is the volume V increasing at a constant rate over this period of time? Yes O No (c) What constant rate (gal/min) would be required to change the volume from the observed value at t = 1.5 to the one at t = 3? (We call this the average similar fashion to the way average velocity is defined in this section.) gal/min d) What is the average rate of change of the volume with time on the interval: [1, 1.5]? gal/min What is the average rate of change of the volume with time on the interval: [0, 2.5]? gal/min (e) What type of function always increases at the same rate? linear monotonous periodic O quadratic What do we call its rate of Increase? angle slope acceleration period Tutorial