Final answer:
The simplest form of the ratio for hours worked to dollars earned, given 2 hours worked and $30 earned, is 1:15, which corresponds to option (a) 2:15 since both terms of the ratio are multiplied by the same number.
Step-by-step explanation:
The question requires us to find the ratio of hours worked to the amount earned in its simplest form. Given that you worked 2 hours and earned $30, we set up the ratio as hours to dollars, or 2:30. To simplify the ratio, we can divide both terms by the greatest common divisor, which is 2. Doing this gives us a simplified ratio of 1:15.
Therefore, the correct answer is not directly listed in the options, but the simplest form of the ratio for the hours worked to the amount earned is 1:15, which is equivalent to option (a) 2:15 when considering that both the numerator and denominator of the ratio have been multiplied by 2.