SOLUTION: In Pennsylvania, the state income tax is directly proportional to gross income. Suppose you were working in Pennsylvania and your state income tax deduction was $43.50 for a g

Question 43441: In Pennsylvania, the state income tax is directly proportional to gross income. Suppose you were working in Pennsylvania and your state income tax deduction was $43.50 for a gross monthly income of $1500. Which of the following mathematical models gives the Pennsylvania state income tax, y, in terms of gross income x?
a. y = 0.029x
b. y = 34.48x
c. y = x/0.029
d. y = -34.48x
e. None of the others

Answer by Earlsdon(6294) (Show Source): You can put this solution on YOUR website!
First, write the equation of proportionality:
Since the income tax, y is directly proportional to the gross income, x, you can write:
y = kx where k is the constant of proportionality:
To find the value of k, just substitute the given values of y (state income tax = $43.50) and x (gross income = $1500) and solve for k.
$43.50 = k($1500) Divide both sides by $1500.
k = 0.029
The final equation is then:
y = 0.029x
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