A run club at a community center ran a fundraiser for six weeks. They raised $160.00 the first week. For each of the following weeks, they raised half the amount of the previous week. How much money did they raise in total?(1 point)

Question

Responses

$317.50
$317.50

$315.00
$315.00

$310.00
$310.00

$305.00

Answer 1

To find the total amount of money raised by the run club over six weeks, we start with the amount raised in the first week and then calculate the amounts raised in the subsequent weeks as follows:

1. Week 1: $160.00
2. Week 2: Half of Week 1 = \( \frac{160}{2} = 80.00 \)
3. Week 3: Half of Week 2 = \( \frac{80}{2} = 40.00 \)
4. Week 4: Half of Week 3 = \( \frac{40}{2} = 20.00 \)
5. Week 5: Half of Week 4 = \( \frac{20}{2} = 10.00 \)
6. Week 6: Half of Week 5 = \( \frac{10}{2} = 5.00 \)

Now, we add up the amounts raised over the six weeks:

\[ 160.00 + 80.00 + 40.00 + 20.00 + 10.00 + 5.00 = 315.00 \]

Therefore, the total amount raised by the run club over the six weeks is $315.00.