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#### bergausstein

##### Active member

- Jul 30, 2013

- 191

At 9am , a thermometer reading 70ºF is taken outdoors, where the temperature is 15ºF. At 9:05am, the thermometer reading is 45ºF. At 9:10am, the thermometer is taken back indoors, where the temperature is fixed at 70ºF.

(a). Find the reading at 9:20am

(b). when the reading, to the nearest degree, will show the correct (70ºF) indoor temperature.

I have already taken the specific solution using the conditions given in the problem,

$x(t)=55(\frac{11}{6})^{-\frac{t}{5}}+15$

plugging in $t=10$ I have $x=31.4 F$

now I don't know what to do next. please help!

and can you explain the question in b.

(a). Find the reading at 9:20am

(b). when the reading, to the nearest degree, will show the correct (70ºF) indoor temperature.

I have already taken the specific solution using the conditions given in the problem,

$x(t)=55(\frac{11}{6})^{-\frac{t}{5}}+15$

plugging in $t=10$ I have $x=31.4 F$

now I don't know what to do next. please help!

and can you explain the question in b.

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