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It is currently 0 degrees outside, and the temperature is dropping 4 degrees every hour. The temperature after h hours is -4h. Explain what the equation -4h=-14 represents. What value of h makes the equation true? Explain what the inequality -4h-14 represents. What values of h make the inequality true?

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Answer:

the equation -4h=-14 represents that after h hours the temperature of the outside environment is -14°C

It means that it takes 3.5 hours for the temperature of the outside environment to be -14°C

h ≥ 3.5

Step-by-step explanation:

Since the temperature after h hours is -4h, the equation -4h=-14 represents that after h hours the temperature of the outside environment is -14°C. To calculate the value of h, we divide both sides of the equation by -4.

Since -4h=-14

Dividing through by -4:

-4h / -4 = -14 / -4

h = 3.5

It means that it takes 3.5 hours for the temperature of the outside environment to be -14°C

The inequality -4h ≥ -14

Solving by dividing through by -4:

h ≥ 3.5

This means that at 3.5 hours the temperature of the outside environment must be greater than or equal to-14°C

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