Beneath Earth's surface, the temperatureincreases 10 degrees celsius every kilometer. Suppose that the surface temperature is 22 degree celsius, and the temperature at the bottom of gold mine is 45 degree celsius. What is the depth of the gold mine?
22 + 10x = 45
now solve for x
To find the depth of the gold mine, we need to calculate how many kilometers the temperature increases by 10 degrees Celsius.
Let's denote the depth of the gold mine as "d" in kilometers.
From the surface to the bottom of the gold mine, the temperature increases by 45 - 22 = 23 degrees Celsius.
We know that the temperature increases by 10 degrees Celsius every kilometer, so we can set up the following equation:
10d = 23
To solve for d, we divide both sides of the equation by 10:
d = 23 / 10
d = 2.3 kilometers
Therefore, the depth of the gold mine is 2.3 kilometers.
To find the depth of the gold mine, we need to determine the increase in temperature per kilometer and then calculate the difference between the two temperatures.
Given:
Surface temperature = 22 degrees Celsius
Temperature at the bottom of the gold mine = 45 degrees Celsius
Rate of temperature increase = 10 degrees Celsius per kilometer
To calculate the depth of the gold mine, follow these steps:
1. Calculate the temperature difference: Subtract the surface temperature from the temperature at the bottom of the gold mine.
Temperature difference = 45 degrees Celsius - 22 degrees Celsius = 23 degrees Celsius
2. Calculate the number of kilometers that account for the temperature difference: Divide the temperature difference by the rate of temperature increase.
Number of kilometers = Temperature difference / Rate of temperature increase = 23 degrees Celsius / 10 degrees Celsius per kilometer.
The rate of temperature increase is given as 10 degrees Celsius per kilometer. Therefore, we have:
Number of kilometers = 23 / 10 = 2.3 kilometers
Thus, the depth of the gold mine is 2.3 kilometers.