New York Life offers a $250,000 life insurance policy. Quarterly rates for women and men are shown in Table 71 for various ages.

Let W(x) and M(x) be the quarterly rates (in dollars) for women and men, respectively, both at x years of age.
a. Find exponential regression equations of W and M.
b. Compare the bases of your two models. What does your comparison mean in this situation?
c. For a $250,000 policy, how much would a 52-year-old woman pay per quarter? How much would a 52-year-old man pay per quarter?
d. Due to Montana insurance regulations, both sexes must pay the same quarterly rates. So, New York Life uses the male rates for all residents of Montana. Estimate how much more a 62-year-old woman would pay per quarter for a $250,000 policy if she lived in Montana rather than in some other state.

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Table 71 NewYork Life Quarterly Rates for a $250,000 Policy Quarterly Rate (dollars) Men Age (years) 35 40 45 50 Women 25.00 33.75 51.25 70.00 104.50 145.75 220.00 28.75 35.75 57.50 87.50 145.00 60 64 230.75 355.00