Health The following table shows the consumer price index (CPI) for medical care in selected years
Year | Medical CPI |
1950 | 15.1 |
1975 | 47.5 |
2007 | 351.05 |
(a) Let x = 0 correspond to 1950. Find the rule of a piecewise linear function that models these data—that is, a piecewise linear function f with f(0) = 15.1, f(25) = 47.5, andf(57) = 351.05. Round all coefficients in your final answer to one decimal place.
(b) Graph the function f for 0 ≤ x ≤ 65.
(c) Use the function to estimate the medical-care CPI in 2004.
(d) Assuming that this model remains accurate after 2007, estimate the medical-care CPI for 2012.
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