Elias purchases a home for $38,900. The value of the home, in thousands of dollars, since his purchase is shown in the table. A

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2 years ago

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Elias purchases a home for $38,900. The value of the home, in thousands of dollars, since his purchase is shown in the table. A

2-column table with 6 rows. The first column is labeled years since purchase with entries 0, 5, 10, 15, 20, 25. The second column is labeled value (thousands of dollars) with entries 38.9, 62.4, 89.3, 145.2, 210.8, 326.5. Find an exponential function that models the data. Round numerical values to the nearest hundredth. Let x be the number of years since the purchase. The function f(x) = ( )x models the data. Use the model to predict the home’s value. After 12 years, the home’s value will be about $ thousand. After 35 years, the home’s value will be about $ thousand.

Mathematics