Write an inequality that represents `t`, the number of hours past midnight, when the temperature was colder than -4 degrees Celsius. Explain or show your reasoning

Question:

At midnight, the temperature in a city was 5 degrees Celsius. The temperature was dropping at a steady rate of 2 degrees Celsius per hour.

Write an inequality that represents t, the number of hours past midnight, when the temperature was colder than -4 degrees Celsius. Explain or show your reasoning.

Step-by-step explanation:

Given

Let T = temperature and t = hours past midnight

So, we have:

--- at midnight

--- rate (it is negative because the temperature drops)

Required

Determine the inequality when the temperature is colder than -4 degrees

First, we calculate the hours when the temperature at -4 degrees

This is represented as:

Using the slope formula, we have:

Solve for t

This implies that: at 4.5 hours, the temperature is at -4 degrees Celsius.

So, the inequality is:

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