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 hours past midnight when the temperature was colder then -4 degrees celsius.

Answer 1

Answer:

( 5 - 2t ) < - 4

Step-by-step explanation:

The midnight temperature is 5 °C and the temperature is decreasing at the rate of 2°C per hour.

If t is the hours past midnight then after t hours the temperature will be ( 5 - 2t ).

Now, if this temperature is colder than - 4° C, then the inequality can be written as   ( 5 - 2t ) < - 4 (Answer)

Answer 2

The inequality that represents t hours past midnight when the temperature was colder than -4 degrees Celsius is given by:

$5 - 2t < -4$

Given that:

• The temperature at midnight: 5 degrees Celsius,
• Temperature dropping per hour: 2 degrees.
• The hours past midnight: t

Forming inequality:

After t hours past midnight, the total drop in temperature would be of  $2t$ magnitude.

The time after which temperature was colder than -4 degrees Celsius is given by:

$5 - 2t < -4$

Thus, inequality that represents t hours past midnight when the temperature was colder than -4 degrees Celsius is given by:

$5 - 2t < -4$

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