Question

The tax rate in Terri's county is given by the equation y = 0.06x, where y represents the amount of tax in dollars and x represents the purchase price in dollars.

Based on this equation, which statement is true?
O Both the domain and range are all real numbers.
O The domain is 0.06, and the range is all real numbers.
O Both the domain and range are greater than or equal to zero.
O The domain is greater than or equal to zero, and the range is all real numbers.

Answer 1

• C) Both the domain and range are greater than or equal to zero.

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Given

• Function y = 0.06x with y - amount of tax, x - price

Statements

A) Both the domain and range are all real numbers.

• Incorrect, as x and y are both non-negative

B) The domain is 0.06, and the range is all real numbers.

• Incorrect, as 0.06 is not domain, its a constant

C) Both the domain and range are greater than or equal to zero.

• Correct, price or tax can't be negative

D) The domain is greater than or equal to zero, and the range is all real numbers.

• Incorrect, if domain is not negative the range can't be negative, therefore not all real numbers included