Business The following table gives the number of small-business loans to minority-owned small businesses from 2000 to 2006*:
Year | Number |
2000 | 11,999 |
2003 | 20,184 |
2004 | 25,413 |
2005 | 29,722 |
2006 | 33,772 |
(a) Plot these ordered pairs on a grid, with x = 0 corresponding to 2000.
(b) The points from part (a) should lie approximately on a straight line. Use the pairs (0, 11,999) and (6, 33,772) to write an equation of the line.
(c) Let f(x) represent the number of loans and a represent the year. Write the equation from part (b) as the rule that defines a function.
(d) Find f(4). Does it agree fairly closely with the number in the table that corresponds to 2004? Do you think the expression from part (c) describes this function adequately?
*U.S. Small Business Administration.
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