Suppose that the water level of a lake is 35 feet and that it is receding at a rate of 1.5 feet per day

a) write an equation for the water level, L, after D days

b) In how many days will the water level be at 20 feet

Respuesta :

The equation for the water level, L, after D days is L = -1.5D + 35

A linear equation is in the form:

y = mx + b

where y, x are variables, m is the rate of change and b is the initial value of y.

Let L represent the water level after D days.

From the question, m = -1.5, b = 35, hence:

L = -1.5D + 35

For 20 feet:

20 = -1.5D + 35

-1.5D = -15

D = 10

The equation for the water level, L, after D days is L = -1.5D + 35

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