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.
To know more about an expression follow
#SPJ7
Answer:
its c
Step-by-step explanation:
Answer:
one was traveling 35 mph and the other 15 mph
Step-by-step explanation: