Suppose that for the first 6 years of a moose’s life, its shoulder height H(t) and tip-to-tip antler length A(t) increase with time t (years) according to the formulas H(t) = 125e^0.08t and A(t) = 50e^0.16t, where H and A are both measured in centimeters (cm).

a. On the same graph, sketch y = H(t) and y = A(t) for the applicable period 0 ≤ t ≤ 6.

b. Express antler length A as a function of height H.