The temperature in a town increased 16 Fahrenheit in 5 hours. The temperature decreases 31 Fahrenheit in the next 8 hours. Which expressions shows the rate of the total change in temperature?

A. -15 hours
------------------
13 hours

B. 47 F
--------------
13 hours

C. 15 F
----------
10 min

D. 47 F
-----------
-13 hours

Respuesta :

Correct answer is: A) [tex]\frac{-15F}{13hours}[/tex]

Solution:-

Given that temperature of town increased 16 Fahrenheit in 5 hours and decreases 31 Fahrenheit in the next 8 hours.

If we assume T as temperature, it became T+16 in 5 hours and (T+16-31) in next 8 hours.

That is change in temperature in (5+8) hours is 16-31 = -15 Fahrenheit.

Rate of total change in temperature = [tex]\frac{change in temperature}{time}[/tex]

                                                            = [tex]\frac{-15}{5+8}=\frac{-15}{13}[/tex]

Hence rate of total change in temperature is [tex]\frac{-15F}{13hours}[/tex]

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