Respuesta :

Answer:

the answer is about 7.67 hours

Step-by-step explanation:

The difference in the temperature is 4.6 degrees, so 4.6 divided by 0.6 is about 7.67 hours

h = the number of hours

72 - 0.6h = 68.4

[The temperature was 72°F and it drops/decreases 0.6°F per hour(h), and the current temperature = 68.4°F]

To find h, isolate/get the variable "h" by itself in the equation:

72 - 0.6h = 68.4        Subtract 72 on both sides

72 - 72 - 0.6h = 68.4 - 72

-0.6h = -3.6    Divide -0.6 on both sides to get "h" by itself

[tex]\frac{-0.6h}{-0.6} =\frac{-3.6}{-0.6}[/tex]   (two negative signs cancel each other out and become positive)

h = 6      6 hours have passed