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Caitlin’s thermometer rises 16°C in 4 hours.Expressed as a unit rate, 16°C in 4 hours isa16°C/4 h b8°C/2 hc12°C/h d4°C/h

Question

Caitlin’s thermometer rises 16°C in 4 hours.

Expressed as a unit rate, 16°C in 4 hours is:

  • a) 16°C/4 h
  • b) 8°C/2 h
  • c) 12°C/h
  • d) 4°C/h
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Solution

Break Down the Problem

  1. We need to determine the unit rate of temperature rise per hour from the total temperature change over a given time period.

Relevant Concepts

  1. The formula to calculate the unit rate is: Unit Rate=Total Change in TemperatureTotal Time \text{Unit Rate} = \frac{\text{Total Change in Temperature}}{\text{Total Time}}

Analysis and Detail

  1. Given:

    • Total Change in Temperature = 16°C
    • Total Time = 4 hours

    Using the formula: Unit Rate=16°C4h=4°C/h \text{Unit Rate} = \frac{16 \, \text{°C}}{4 \, \text{h}} = 4 \, \text{°C/h}

Verify and Summarize

  1. This means that Caitlin's thermometer rises at a rate of 4°C every hour. Thus, among the options given, the correct unit rate is indeed 4°C/h4 \, \text{°C/h}.

Final Answer

The correct answer is d) 4°C/h.

This problem has been solved

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