the water level of a river is 50 feet. After one day,the water level has decreased to 38,5 feet. After two days, the water level is 37 feet,and after three days,the water level is 35.5 feet. write an equation to represent the water level,L after d days.
To write an equation that represents the water level (L) after d days, we need to find a pattern in the rate of decrease.
From the given information, we can observe that the water level decreases by a certain amount each day.
If we take the starting water level as 50 feet and subtract the decrease in water level over the given number of days, we can write the equation as follows:
L = 50 - (n * d)
Where:
L represents the water level after d days
n represents the rate of decrease (feet per day)
To determine the value of n, we can use any two data points from the given information and solve for n using the formula:
n = (L_initial - L_final) / d
Let's calculate the value of n using the second and third data points provided:
n = (37 - 35.5) / 2
n = 1.5 / 2
n = 0.75 feet per day
Now that we have the value of n, we can rewrite the equation as:
L = 50 - (0.75 * d)
So, the equation that represents the water level (L) after d days is L = 50 - (0.75 * d).