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. [ R .6 ] Days, x 0 9 18 27 36 45 Profit, P (in dollars) 870 548 100 100 510 872 a. Make a scatterplot of the data. 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 30 th day. e. Make an estimate of the domain of this function. Why must it have restrictions?
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. [ R .6 ] Days, x 0 9 18 27 36 45 Profit, P (in dollars) 870 548 100 100 510 872 a. Make a scatterplot of the data. 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 30 th day. e. Make an estimate of the domain of this function. Why must it have restrictions?
Solution Summary: The author explains how the quadratic equation y=1.8633x2-84.179x+943 obtained fit the data.
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.
[
R
.6
]
Days, x
0
9
18
27
36
45
Profit, P (in dollars)
870
548
100
100
510
872
a. Make a scatterplot of the data.
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?
Formula Formula A polynomial with degree 2 is called a quadratic polynomial. A quadratic equation can be simplified to the standard form: ax² + bx + c = 0 Where, a ≠ 0. A, b, c are coefficients. c is also called "constant". 'x' is the unknown quantity
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