Question

After the monsoon storm, there are 5 meters of water covering the parking lot of Liberty High School. The water recedes at a rate 0.11 meters per hour. Express the depth d of the water as a linear function of the time t in hours elapsed from the end of the rainstorm.

Answer 1

The linear function representing the depth of water d as a function of time t is d(t) = 5 - 0.11t, starting with an initial depth of 5 meters.

Step-by-step explanation:

To express the depth d of the water as a linear function of the time t in hours elapsed from the end of the rainstorm, we use the initial condition and the rate of change. The initial depth of water after the monsoon storm is 5 meters, and it recedes at a rate of 0.11 meters per hour.

The linear function would therefore be:
d(t) = 5 - 0.11t
This equation implies that for each hour t that passes, the depth d is reduced by 0.11 meters from the original 5 meters.