At a desert resort, the temperature at 7 a. m. was 3°C. The temperature increased by an average of 3.4°C each hour until it reached 30.2°C. How long did it take to reach this temperature?

It will take 8 hours to reach this temperature.

Step-by-step explanation:

Given: At a desert resort, the temperature at 7 a.m. was 3°C.

The temperature increased by an average of 3.4°C each hour until it reached 30.2°C.

Let x be the number of hours taken to reach 30.2°C..

As per given ,

Initial temperature +(average increase in temperature) (Number of hours) = 30.2

⇒3+3.4x=30.2

⇒3.4x=30.2-3

⇒3.4x=27.2

⇒ x=8    [Divide both sides by 3.4]

Hence, it will take 8 hours to reach this temperature.