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A recommended storage temperature for chocolate is from 15⁰ C to 20⁰ C. Write and solve a compound inequality that represents the possible storage temperatures in degrees Fahrenheit for chocolate. (Hint: = 5 9 ( − 32)).

User Donquixote
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Final answer:

The recommended storage temperature for chocolate, initially given from 15°C to 20°C, is converted to the Fahrenheit scale using the formula F = (9/5)C + 32. This results in a range from 59°F to 68°F, which is written as a compound inequality as 59 ≤ F ≤ 68.

Step-by-step explanation:

The subject of this question is Mathematics, specifically dealing with algebra and inequalities combined with a practical application in temperature conversion. Initially, we have the recommended storage temperature for chocolate in degrees Celsius, which is from 15⁰ C to 20⁰ C.

To convert this to Fahrenheit, we can use the formula F = (9/5)C + 32. Therefore, we apply this formula to both limits of the Celsius range as follows:

  • F = (9/5)*15 + 32 = 59°F
  • F = (9/5)*20 + 32 = 68°F

This gives us the Fahrenheit range equivalent, which is from 59°F to 68°F. To represent this as a compound inequality, we express it as 59 ≤ F ≤ 68, which represents all possible storage temperatures for chocolate in degrees Fahrenheit.

Learn more about Temperature Conversion

User Ankur Shah
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