The domain of a function is the set of possible input value, the function can take.
The domain is [0,10]
The given parameters are:
[tex]Flat\ Fee = 15.25[/tex]
[tex]Rate = 3.45[/tex]
So, the function f(x) is:
[tex]f(x) = Flat\ Fee + Rate \times x[/tex]
[tex]f(x) = 15.25 + 3.45 \times x[/tex]
[tex]f(x) = 15.25 + 3.45x[/tex]
Because x represents the number of orders, the value of x cannot be negative.
The teacher budgets $49.75.
This means that: f(x) = 49.75
So, we have:
[tex]49.75 = 15.25 + 3.45x[/tex]
Collect like terms
[tex]49.75 - 15.25 = 3.45x[/tex]
[tex]34.5 = 3.45x[/tex]
Divide both sides by 3.45
[tex]10 = x[/tex]
Rewrite as
[tex]x = 10[/tex]
Hence, the domain is [0,10]
Read more about domains at:
https://brainly.com/question/21853810
