Question

Suppose that the water level of a river is 34 feet and that it is receding at a rate of 0.5 foot per day. Write an equation for the water level, L, after d, days.

Answer 1

Answer:

The equation to represent the rate of receding water level is                     L = 34 $(0.5)^{d}$   .

Step-by-step explanation:

Given as :

The initial level of water in river = 34 feet

The rate of receding water level = 0.5 foot per day

Or, The rate of percentage of receding water level = 50 % per day

Let the level of water after d days = L

Now,

The level of water after d days = initial level of water × ( $(1-\dfrac{\textrm Rate}{100})^{Time}$

I.e L = 34 × ( $(1-\dfrac{\textrm 50}{100})^{d}$

∴  L = 34 × $(0.5)^{d}$

Hence The equation to represent the rate of receding water level is                L = 34 $(0.5)^{d}$   . Answer