In a certain state, the sales tax t on the amount of taxable goods is 6% of the value of the goods purchased x, where both t and x are measured in dollars. (a) express t as a function of x.

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Answer: The required function is,

[tex]t = 0.06 x[/tex]

Step-by-step explanation:

According to the question,

The sales tax t on the amount of taxable goods is 6% of the value of the goods purchased x,

⇒ [tex]t = 6\% \text{ of } x[/tex]

⇒ [tex]t = \frac{6}{100}\times x[/tex]

⇒ [tex]t = 0.06 x[/tex]

Which is the required function.

The function of t with respect to "x" is t = 0.06x

Sales tax and income

Given the following paramters

  • Sales tax = t
  • Value of goods  = $x
  • Tax = 6%

To calculate the tax;

Sales tax = %Tax * Cost

t = 6% of x

t = 0.06x

Hence the function of t with respect to "x" is t = 0.06x

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