Concept explainers
a.
To write a function for the given situation
a.
Answer to Problem 3.1.2.3P
The function is,
Explanation of Solution
Given:
The initial temperature is 80°F
10°F temperature is increased every minute
Concept Used: function formation
Calculation:
Let
Where “x” is the time, in minutes.
Hence, substituting the values and forming the function.
Conclusion:The function is,
b.
To calculate the temperature, at 22mins.
b.
Answer to Problem 3.1.2.3P
The temperature at 22mins is, 300°F
Explanation of Solution
Given:
The function is
Time (x) is 22mins.
Concept Used:
Solving the function
Calculation:
Substituting the values in the function,
So,
On solving,
Hence, temperature is 300°F
Conclusion:The temperature at 22mins is, 300°F
c.
To find a function for cooling of the temperature.
c.
Answer to Problem 3.1.2.3P
The equation is
Explanation of Solution
Given:The temperature after which cooling starts is 300°F
5°F is reduced each minute.
Concept Used:Function formation
Calculation:
Let
Where “x” is the time, in minutes.
Hence, substituting the values and forming the function.
Conclusion:The equation for cooling is
d.
To calculate the time the chamber takes to reach 80°F
d.
Answer to Problem 3.1.2.3P
It takes 44mins to reach at the 80°F
Explanation of Solution
Given:The function is
The final temperature( c(x)) is 80°F
Concept Used:Solving the function
Calculation:
Substituting the values,
Exchanging the right-hand side and left- hand side values,
On solving,
Cross-multiplying,
On solving,
Hence, time is 44mins
Conclusion:It takes 44mins to reach at the 80°FChapter ISG Solutions
Algebra 1, Homework Practice Workbook (MERRILL ALGEBRA 1)
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