The water depth in a lake decreases at a rate of 2 inches per day because of evaporation. How much does the water depth change in 8 days? In 15 days? In 8 days, the water depth changes by inches. In 15 days, the water depth changes by inches.
Mathematics · High School · Tue Nov 03 2020
Answered on
Given the statement:
The water depth in a lake decreases at a rate of 2 inches per day because of evaporation.
Determine how much does the water depth change in 8 days, and in 15 days.
In order to understand the statement briefly, we will represent the given values as a function.
x = current water depth
d = number of days
F(d) = x - 2d
Solution:
Substitute the given number of days to the function representation.
F(8) = x - 2(8)
F(8) = x- 16
x = 16 inches
F(15) = x - 2(15)
F(15) = x - 30
x = 30 inches
Final answer:
In 8 days, the water depth changes by 16 inches.
In 15 days, the water depth changes by 30 inches.