A certain business has implemented a new incentive plan whereby employees earn tokens for every sale they make.
1 answer:
For the answer to the question above,
Suppose that for x sales the number of tokens the employee earns is:
<span>ax^3 + bx^2 + cx + d </span>
<span>Therefore: </span>
<span>a(1^3) + b(1^2) + c(1) + d = 1 </span>
<span>a(2^3) + b(2^2) + c(2) + d = 6 </span>
<span>a(3^3) + b(3^2) + c(3) + d = 12 </span>
<span>a(4^3) + b(4^2) + c(4) + d = 19 </span>
<span>Therefore: </span>
<span>a + b + c + d = 1 </span>
<span>8a + 4b + 2c + d = 6 </span>
<span>27a + 9b + 3c + d = 12 </span>
<span>64a + 16b + 4c + d = 19 </span>
<span>Solve that to get: </span>
<span>a = 0 </span>
<span>b = 1/2 </span>
<span>c = 7/2 </span>
<span>d = -3 </span>
<span>Therefore, the formula is: </span>
<span>(1/2)x^2 + (7/2)x - 3 </span>
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