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If an object with an initial temperature of 300 K increases its temperature by 1°C every minute, by how many degrees Fahrenheit will its temperature have increased in 10 minutes? (A) 6°F (B) 10°F (C) 18°F (D) 30°F

Respuesta :

JeanaShupp

Answer: B) [tex]10^{\circ}K[/tex]

Explanation:

Let x be the number of minutes in which the temperature is increased.

Given: The initial temperature : [tex]C=300^{\circ} K[/tex]

The constant rate of increase in each minute :  [tex]m=1^{\circ} K[/tex]

Since the situation follows a linear growth, then the increase in temperature (in Kelvin) after x minutes is given by the expression :-

[tex]mx[/tex]

Then, the increase in temperature (in Kelvin) after 10 minutes:-

[tex]1\times10=10^{\circ}K[/tex]

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