Cindy’s part time job pays her $15 per hour and
will let her work up to 20 hours per week. Her
pay each week can be calculated using the
function f(t)=15t where t represents the number
of hours Cindy works. Find the domain and
range of this function in interval notation.
The domain of the function f(t) is the set of all possible values of t. In this case, Cindy can work up to 20 hours per week, so the domain is t ∈ [0, 20].
The range of the function f(t) is the set of all possible values that f(t) can take on. Since Cindy is paid $15 per hour, the range is f(t) ∈ [0, 15*20] = [0, 300].
Therefore, in interval notation, the domain is [0, 20] and the range is [0, 300].