A solution is to be kept between 68°F and 77°F. What is the range in temperature in degree Celsius (C) if the conversion formula is given by F = (9/5)C + 32?
Model Answer & Options
Source: Extra Practice(20, 25)
[20, 25]
(15, 20)
(25, 30)
Explanation
The problem states the temperature must be between 68°F and 77°F, which gives the double inequality: 68 < F < 77. Substitute the formula for F: 68 < (9/5)C + 32 < 77. Subtract 32 from all parts: 68 - 32 < (9/5)C 36 < (9/5)C < 45. To solve for C, multiply the entire inequality by 5/9: (36 * 5/9) < C 4 * 5 < C 20 < C < 25. The interval is (20, 25). Option B is wrong because 'between' implies strict inequality (open brackets). Options C and D are numerically incorrect based on the calculation.
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