f(x) = -0.805x + 38.967
f(x) = 0.805x + 38.967
f(x) = -0.001x2 - 0.543x + 37.389
f(x) = 0.001x2 - 0.543x + 37.389
The correct answer for the data is (d) f(x) = 0.001x² - 0.543x + 37.389.
To determine which function most appropriately models the data, we need to examine the characteristics of the data and compare them with the characteristics of the functions.
The data represents the revenue from Tallahassee theaters, which means that the revenue is likely to increase as the number of theaters and the number of people attending the theaters increases. Therefore, we can eliminate options (a) and (b) because they have negative coefficients on x, which would indicate a decreasing revenue as x increases.
Option (c) is a quadraticfunction, which allows for a more complex relationship between the revenueand the number of theaters. However, the coefficient on the x² term is very small (0.001), which suggests that the quadratic term has little effect on the revenue compared to the linear term. In addition, the constant term (37.389) is relatively low, which would imply a low revenue even when the number of theaters is zero.
Option (d) is also a quadratic function, but it has a larger coefficient on the x² term (0.001) and a higher constant term (37.389), which would result in a higher revenue even when the number of theaters is zero. Therefore, option (d) is the most appropriate function to model the data.
So, the correct answer is (d) f(x) = 0.001x² - 0.543x + 37.389.
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Answer:
its c
Step-by-step explanation:
Answer:
3.28
Step-by-step explanation:
20.5x.16=3.28
Answer:
30,000
Step-by-step explanation:
Answer:
slope = -1.5
Step-by-step explanation:
A set of three or more points are said to be collinear if they all lie on the same straight line.
We have been given the following collinear set of points;
P(0, 3), Q(2, 0), R(4, -3)
This implies that P, Q, and R lie on the same line.
The slope of a line is defined as; (change in y)/(change in x)
Using the points P and Q, the slope of the line is calculated as;
(0-3)/(2-0) = -3/2 = -1.5
Answer:
-3/2
Step-by-step explanation:
According to the line of best fit and using ______, Sean can estimate that the balance of his loan will reach $0 in month _____.
First blank options:
1. Interpolation
2. Extrapolation
Second blank options:
1. 71
2. 69
3. 68
4. 59
Answer:
First blank: 2. Extrapolation
Second blank: 2. 69
Step-by-step explanation:
Extrapolation should be used because the point (x, y) is further than the points included in the table, that is, the x-coordinate will be greater than 12 when y = $0
Replacing y = 0 into the equation, we get:
0 = -115.9x + 8,007.30
115.9x = 8,007.30
x = 8,007.30/115.9
x = 69