25. The Challenger Disaster After the Challenger disaster in 1986, a study was made of the 23 launches that preceded the fatal flight. A mathematical model was developed involving the relationship between the Fahrenheit temperature x around the O-rings and the number y of eroded or leaky primary O-rings. The model stated that 6. 1+e-(5.085-0.1156x) where the number 6 indicates the 6 primary O-rings on the spacecraft. (a) What is the predicted number of eroded or leaky primary O-rings at a temperature of 100°F? (b) What is the predicted number of eroded or leaky primary O-rings at a temperature of 60°F? (c) What is the predicted number of eroded or leaky primary O-rings at a temperature of 30°F? (d) Graph the equation. At what temperature is the predicted number of eroded or leaky O-rings 1? 3? 5?

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter5: Inverse, Exponential, And Logarithmic Functions
Section5.6: Exponential And Logarithmic Equations
Problem 69E
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25. The Challenger Disaster After the Challenger disaster in
1986, a study was made of the 23 launches that preceded the
fatal flight. A mathematical model was developed involving
the relationship between the Fahrenheit temperature x
around the O-rings and the number y of eroded or leaky
primary O-rings. The model stated that
6.
1+e-(5.085-0.1156x)
where the number 6 indicates the 6 primary O-rings on the
spacecraft.
Transcribed Image Text:25. The Challenger Disaster After the Challenger disaster in 1986, a study was made of the 23 launches that preceded the fatal flight. A mathematical model was developed involving the relationship between the Fahrenheit temperature x around the O-rings and the number y of eroded or leaky primary O-rings. The model stated that 6. 1+e-(5.085-0.1156x) where the number 6 indicates the 6 primary O-rings on the spacecraft.
(a) What is the predicted number of eroded or leaky primary
O-rings at a temperature of 100°F?
(b) What is the predicted number of eroded or leaky
primary O-rings at a temperature of 60°F?
(c) What is the predicted number of eroded or leaky
primary O-rings at a temperature of 30°F?
(d) Graph the equation. At what temperature is the
predicted number of eroded or leaky O-rings 1? 3? 5?
Transcribed Image Text:(a) What is the predicted number of eroded or leaky primary O-rings at a temperature of 100°F? (b) What is the predicted number of eroded or leaky primary O-rings at a temperature of 60°F? (c) What is the predicted number of eroded or leaky primary O-rings at a temperature of 30°F? (d) Graph the equation. At what temperature is the predicted number of eroded or leaky O-rings 1? 3? 5?
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