Question

The salt water fish tank at your house is filled with 22 inches of water. The water evaporates at a steady rate of 2 inches per week. Write an equation that approximates the depth y of water in the aquarium x weeks after you fill it.

Answer 1

y = 22 - 2x

Explanation:

Given the following :

Amount of water in salt water fish tank = 22 inches

Evaporation occurs steadily at the rate ; 2 inches per week

The depth y of water in the aquarium x weeks after filling :

The depth of water reduces as evaporation occurs ; and as such reduces by 2 inches per week

Hence,

After x weeks, the depth 'y' of water in the aquarium will be :

y = Initial position of water - 2(number of weeks)

y = 22 - 2x

y = new depth

x = number of weeks