Raquel can lift 20 pounds the first week. The number of pounds she can lift each week increases by 10%. how much weight can Raquel lift on week four? Round to the nearest tenth.

Question

1)29.3lbs
2)22lbs
3)24.2lbs
4)26.6lbs

Answer 1

To calculate how much weight Raquel can lift in week four, we start with her initial weight of 20 pounds and apply the 10% increase each week.

1. Week 1 (Initial weight):
   \( W_1 = 20 \) pounds

2. Week 2:
   \( W_2 = W_1 \times (1 + 0.10) \)
   \( W_2 = 20 \times 1.10 = 22 \) pounds

3. Week 3:
   \( W_3 = W_2 \times (1 + 0.10) \)
   \( W_3 = 22 \times 1.10 = 24.2 \) pounds

4. Week 4:
   \( W_4 = W_3 \times (1 + 0.10) \)
   \( W_4 = 24.2 \times 1.10 = 26.62 \) pounds

Now we round 26.62 to the nearest tenth, which is 26.6 pounds.

Thus, the amount Raquel can lift on week four is 26.6 pounds.

The correct answer is 4) 26.6 lbs.