Assume that for a person that earns 52000 or less a year the

Assume that for a person that earns $52,000 or less a year, the income tax is 14%.

a) Generate a forimla that models their income tax (T) in terms of their yearly income (i).

b) What is the independent variable?

c) What is the relevant domain? (interval notation)

d) What is the relevant range? (interval notation)

Solution

a) Yearly income is less or equal to 52,000, hence

i<= 52000

We have the following formula

T= 0.14i

b) Since income tax will depend on the yearly income and it will change if we change the yearly income. Hence \"i\" is the independent variable.

c) Since T is defined for all i hence domain = (-infinity, infinity)

d) Also I is defined for all T , hence Range =  (-infinity, infinity)