The function T(N) = 40+0.25N models the outside temperature T, in degrees Fahrenheit, based on the number of chirps per minute N of a cricket. Water is draining from a tank at a constant rate. At two different points in time, the volume V(t) and depth d(t) of remaining water in the tank are measured, and their values are recorded in the following table. Time is measured in minutes while the tank dimensions are in feet. t 4 8 V(t) (ft) 32.5 20 d(t) (ft) 8 5.9 A ball is thrown in the air and its height h(t) is given at time t where h(t) is in feet and t is in seconds after the ball is thrown. The function y = h(t) is given by the graph pictured at the right: S 2 5. 6 -3 -2 -1 0 2 3 5 6 3. (LT3) Use the functions above appropriately to respond to the following questions. Make sure to show how you got your answers or give some kind of justification for your answers. a) Find a formula for a linear function that connects the points (0,h (0)) and (4,h(4)), writing your answer in point-slope form. b) Find a formula for a linear function that goes through the values t = 4 and t = 8 of the volume function V(t). 4. (LT4) Use the functions above appropriately to respond to the following questions. Make sure to show how you got your answers or give some kind of justification for your answers, including any intermediate steps. a) V(d(4)) b) T(h(0)) c) Find a simplified formula for the composite function y=T(8+h).