Concept explainers
Business: ticket profits. The Spring Valley Drama Troupe is performing a new play Data relating daily profit P to the number of days after opening night appear below.
Days, x | 0 | 9 | 18 | 27 | 36 | 45 |
Profit, P (in dollars) | 870 | 548 | 100 | 100 | 510 | 872 |
a. Make a
b. Do the data seem to fit a quadratic function?
Data fit a quadratic function.
c. Using the data points (0, 870), (18, -100), and (45, 872), find a quadratic function that fits the data.
d. Use the function from part (c) to estimate the profit made on the 30th day.
e. Make an estimate of the domain of this function. Why must it have restrictions?
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