The heat in the house is set to keep the minimum and maximum temperatures (in degrees Fahrenheit) according to the equation start absolute value x minus 72 point 5 end absolute value is equal to 4 What are the minimum and maximum temperatures in the house?
Answer
A
72 point 5 degrees Fahrenheit F and 74 point 5 degrees Fahrenheit F
B
70 point 5 degrees Fahrenheit F and 74 point 5 degrees Fahrenheit F
C
72 point 5 degrees Fahrenheit F and 76 point 5 degrees Fahrenheit F
D
68 point 5 degrees Fahrenheit F and 76 point 5 degrees Fahrenheit F
Explanation
The equation |x − 72.5| = 4 means the temperature is 4 degrees above or below 72.5°F. Calculate 72.5 − 4 = 68.5°F and 72.5 + 4 = 76.5°F. The minimum and maximum temperatures are 68.5°F and 76.5°F, which is choice B.
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