Question 1134070
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Part (a)


x = income amount in dollars
T(x) = income tax in dollars


x = 7300 fits the interval 5000 < x < 10000, which means we'll use the second part of the piecewise function.


T(x) = 90 + 0.025(x-5000) when 5000 < x < 10000
T(7300) = 90 + 0.025(7300-5000)
T(7300) = 147.50


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Part (b)


x = 73,000 fits the interval x > 10,000.


T(x) = 215 + 0.050(x-10000) when x > 10,000
T(73000) = 215 + 0.050(73000-10000)
T(73000) = 3365



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Answers:
(a) <font color=red>$147.50</font>
(b) <font color=red>$3365</font>
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