Final answer:
The correct problem that the equation 19 = (0.2)w solves is: Nineteen is 20% of what number. Solving the equation for 'w' results in w = 95.
Step-by-step explanation:
The equation 19 = (0.2)w can be used to determine 'w', which represents the original number of which 19 is 20%. The form of the equation suggests that 19 is a known quantity that is 20% (0.2 when expressed as a decimal) of the unknown number 'w'. To solve for 'w', divide both sides of the equation by 0.2. Therefore, the correct answer to the question is:
d) Nineteen is 20% of what number?
By calculating w = 19 / 0.2, we find that w = 95. This means that 19 is 20% of 95.