Respuesta :
The linear function for the depth of water after t hours is given by:
[tex]d(t) = 17 - 1.5t[/tex]
The format of a linear function is given as follows:
[tex]d(t) = d(0) - at[/tex]
In which:
- d(0) is the y-intercept, which is the initial value.
- a is the slope, which is the rate of change.
The depth of water in a water tower that is draining is decreasing at a constant rate of 1.75 feet per hour, which means that [tex]a = -1.75[/tex], thus:
[tex]d(t) = d(0) - 1.5t[/tex]
The depth after 6 hours of draining is 8 feet, which means that when [tex]t = 6, d(t) = 8[/tex]. This is used to find d(0).
[tex]d(t) = d(0) - 1.5t[/tex]
[tex]8 = d(0) - 1.5(6)[/tex]
[tex]d(0) = 17[/tex]
Then
[tex]d(t) = 17 - 1.5t[/tex]
A similar problem is given at https://brainly.com/question/16302622
