Final answer:
The rate of earning $595 for 40 hours as a simplified fraction is $595 divided by 40 hours. Simplifying 595/40 does not yield any of the answer options, but the closest simplified form is 149/10 or 14.9/1.
Therefore, the correct answer is (b) 595/40.
Step-by-step explanation:
To determine the rate as a simplified fraction for earning $595 for 40 hours of work, you would divide the total amount of money by the total number of hours. This will give you the rate in dollars per hour.
The calculation is as follows:
- $595 ÷ 40 hours = $14.875 per hour
To represent $14.875 as a fraction, note that since $14.875 is the same as $14 7/8, and $1 is the same as 8/8, then $14 7/8 equals 119/8 in fractional form (because 14 * 8 + 7 = 119). However, because the question requires a simplified fraction where both the numerator and the denominator come from the original figures ($595 and 40 hours), it's more straightforward to keep the original numbers. So, the simplified fraction is 595/40, which can be further simplified:
- $595 ÷ 40 hours = 595/40
- 595/40 reduces to 149/10, or 14.9/1, which is 14 9/10, confirming our decimal conversion above.
Since 149/10 is not one of the options provided and is not further reducible to match any of the options, the most suitable answer as a simplified fraction from provided options would be (b) 595/40.