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ANSWER THIS QUESTION MATH QUESTION? IT MIGHT STUMP YOU?

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a thermometer comes with a guarantee that the stated temperature differs from the actual temperature by no more than 1.5 degrees fahrenheit. Write and solve an equation to find the minimum and maximum actual temperatures when the thermometer states that the temperature is 87.4 degrees fahrenheit.

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  1. I x - 87.4 I ≤ 1.5

    -1.5 ≤ x - 87.4 ≤ 1.5

    85.9 ≤ x ≤ 88.9


  2. Suppose that your reading (87.4) is too high. The maximum it can differ from the true temperature is by 1.5 degrees Fahrenheit.

    Let x be the real temperature. You know that if you add 1.5 degrees to the real temperature you will get 87.4. So

    x+1.5=87.4 / - 1.5

    x=85.9. This is the lowest the actual temperature can actually be and still allow you to see 87.4 on the thermometer.

    Next let's assume the reading is too low. The thermometer can show you a reading that is maximum 1.5 degrees lower then the actual temperature. Let x be the actual temperature then:

    x-1.5 = 87.4 / +1.5

    x=88.9. This is the highest the actual temperature can actually be and still allow you to see 87.4 on the thermometer.

  3.   87.4 degrees                                                                  87.4 degrees                                                                          

    +  1.5 degrees                                                                +  1.5 degrees

    ----------------------                                                              ----------------------

       88.9 degrees                                                                  85.9 degrees

    The maximum temperature it could be is 88.9 degrees.  The minimum temperature it could be 85.9 degrees

  4. 87.4 +/- 1.5

    87.4 + 1.5 = 88.9 F <-- Max

    87.4 -1.5 = 85.9 F <-- Min

  5. T = 87.4 +0 or - 1.5

    Maximum value = 87.4 degrees fahrenheit

    Minimum value = 85.9 degrees fahrenheit

  6. = Between - 1.5 + 87.4 and 87.4 + 1.5 degrees Fahrenheit

    = Between 85.9 and 88.9 degrees Fahrenheit

    Answer: Between 85.9 And 88.9 degrees Fahrenheit

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