A tank is filling with water from a natural spring. two days ago the water was 10 feet deep. yesterday the water was 12 feet deep. Assume that the water depth continues to rise at the same rate after today. How do you write this expression

A tank is filling with water from a natural spring. two days ago the water was 10 feet deep. yesterday the water was 12 feet deep. Assume that the water depth continues to rise at the same rate after today. How do you write this expression

what is the expression?

To write an expression for the water depth in the tank, we need to establish the rate at which the water depth is increasing.

Given that the water depth increased by 2 feet in one day (from 10 feet to 12 feet), we can determine that the water depth is increasing at a rate of 2 feet per day.

Let's represent the water depth in the tank as "d" and the number of days since two days ago as "t". Since the water depth increases at a rate of 2 feet per day, the expression for the water depth in the tank after "t" days would be:

d = 10 + 2t

In this expression, the initial water depth of 10 feet is added to the rate of increase (2 feet/day) multiplied by the number of days "t" since two days ago. This expression will give you the water depth in the tank for any given number of days after the initial measurement.

Since the rate of filling is constant, it is a rule consisting of a linear expression.

Let H=height, and
x=number of days since today (day 0).

Since water rises 2 feet per day, today's height, H = 14 feet.
So the rule is then
H = 14+2x
where 2 = additional depth per day
14 = initial value, or today's depth.