he table gives the wind chill temperature when the outside temperature is 0°F Wind (mph) Chill (°F) (mph) Chill (°F) 25 21 Wind Wind Wind 35 40 14 a. Use x as the wind speed and create a quadratic model for the data. b. At what wind speed does the model estimate that the wind chill will be 14°F? c. Is the model found in part (a) valid for x>63? Explain. 10 13 12 15 20 19 45 17 50 12 11 10 25 16 55 30 15 60

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter7: Analytic Trigonometry
Section7.6: The Inverse Trigonometric Functions
Problem 94E
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The table gives the wind chill temperature when the outside temperature is
30 F
Wind Wind
Wind
Wind
(mph) Chill (F) (mph) Chill (F)
35
40
45
50
25
21
19
17
16
15
14
13
12
a. Use x as the wind speed and create a
quadratic model for the data.
b. At what wind speed does the model
estimate that the wind chill will be 14°F?
c. Is the model found in part (a) valid for
x> 637 Explain.
10
15
20
25
12
55
60
11
10
30
a. Determine the quadratic function that best fits the given data,
2.
v3D\0.004x+ -0.501x+26.205
(Use integers or decimals for any numbers in the expression. Round to the nearest thousandth as needed.)
b. Using the unrounded quadratic model from part (a), at what wind speed does the model estimate that the wind chill will be 14 F?
- 15 mph (Round to the nearest whole number as needed.)
c. Is the model found in part (a) valid for x> 63? Explain. Choose the correct answer below.
ent
O A. No. The model is not a good fit.
sigt O B. Yes The function increases for x> 63 and this reflects reality.
O C. Yes. The function will continue to decrease for x> 63.
signi
O D. No. The function's minimum is near 62.6 so the model predicts warmer temperatures for winds over 63 mph.
Click to select your answer(s).
ed Ass
se (1250 LDO6 - SPRING 2021 (MW @ 9 am)) is based on Harshbarger: College Algebra in Context w/ Integrated Review, 5e
Use Privagy Policy Copyright © 2021 Pearson Education Inc. AlI Rights Reserved.
Transcribed Image Text:The table gives the wind chill temperature when the outside temperature is 30 F Wind Wind Wind Wind (mph) Chill (F) (mph) Chill (F) 35 40 45 50 25 21 19 17 16 15 14 13 12 a. Use x as the wind speed and create a quadratic model for the data. b. At what wind speed does the model estimate that the wind chill will be 14°F? c. Is the model found in part (a) valid for x> 637 Explain. 10 15 20 25 12 55 60 11 10 30 a. Determine the quadratic function that best fits the given data, 2. v3D\0.004x+ -0.501x+26.205 (Use integers or decimals for any numbers in the expression. Round to the nearest thousandth as needed.) b. Using the unrounded quadratic model from part (a), at what wind speed does the model estimate that the wind chill will be 14 F? - 15 mph (Round to the nearest whole number as needed.) c. Is the model found in part (a) valid for x> 63? Explain. Choose the correct answer below. ent O A. No. The model is not a good fit. sigt O B. Yes The function increases for x> 63 and this reflects reality. O C. Yes. The function will continue to decrease for x> 63. signi O D. No. The function's minimum is near 62.6 so the model predicts warmer temperatures for winds over 63 mph. Click to select your answer(s). ed Ass se (1250 LDO6 - SPRING 2021 (MW @ 9 am)) is based on Harshbarger: College Algebra in Context w/ Integrated Review, 5e Use Privagy Policy Copyright © 2021 Pearson Education Inc. AlI Rights Reserved.
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