Question

When digging into the earth, the temperature rises according to the following linear equation: t=15+0.01h where t is the increase in temperature in degrees and ℎ is the depth in meters. Calculate the temperature will be at 100 meters.

a) 15 degrees
b) 16 degrees
c) 16.5 degrees
d) 17 degrees

Answer 1

Using the given linear equation for the increase in temperature with depth, the temperature at a depth of 100 meters will be 16 degrees Celsius.

Step-by-step explanation:

The question asks for the temperature at a depth of 100 meters using the linear equation t=15+0.01h, where t is the increase in temperature in degrees Celsius and h is the depth in meters. To find the temperature at 100 meters, we substitute h with 100 meters into the equation:

t = 15 + 0.01(100)

t = 15 + 1

t = 16 degrees Celsius

Therefore, at 100 meters depth, the temperature will be 16 degrees Celsius.