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In a local city, the temperature at noon is -3C The temperature is expected to decrease by 2.5C each hour until the temperature reaches -18C How many hours will it take for the temperature to reach-18C?

Respuesta :

altavistard

Writing the equation that governs this situation:


-3C - (2.5C/hr)x = -18C


Simplifying, -3 - 2.5x = -18, or 3 + 2.5x = 18


Combining like terms: 2.5x = 18-3 = 15


Then x = 15/2.5 = 6. The temp. will reach -18C after 6 hours.

ysalgueror

Answer:

After six hours temperature in the city should be -18 °C.

Step-by-step explanation:

Initial temperature is -3 °C.  

Rate of temperature decreasing is 2.5 °C/hour. It means negative value.

Final temperature should be -18 °C.

If we write those data as equation we have:

(-3 °C - 2.5 (°C/h)* t) = -18 °C

We can isolate the value of t, t will be the total hours.  

-2.5 t = -18 + 3

-2.5 t = -15

t = (-15)/(-2.5) = 6  

t = 6 hours.

After six hours temperature in the city should be -18 °C.  

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