Final answer:
Option B) 10/3 × 7/5 is the correct complex fraction that simplifies to the unit rate of pounds per week.
Step-by-step explanation:
To find the unit rate of pounds per week, we look for a complex fraction that, when simplified, will give us pounds divided by the fraction of a week, which is 5/7. Going through the options provided:
- A) 10/3 × 5/7 is equivalently 10/3 divided by 7/5 after reciprocal multiplication, which does not represent pounds per whole week.
- B) 10/3 × 7/5 simplifies to 10/3 multiplied by the reciprocal of 5/7, which is 7/5. Multiplication results in 2 × 7 = 14, which gives us a whole number of pounds per week.
- C) 3/10 × 5/7 also does not represent a whole week
- D) 5/7 × 10/3 is equal to 5/7 divided by 3/10, which is not a correct unit rate for pounds per week
Therefore, option B is the correct complex fraction that when simplified computes the unit rate of pounds per week.