James is training for a marathon. Every week, he increases the distance he runs by 15%. If James is running 8.5 miles this week, how far will he be running 2 weeks from now?

I did 30/100=x/8.5 . I thought that if I did 30 (for 2 weeks) instead of 15 (1 week) I could get a straight answer. But the answer choices I have are:

A. 15.3 miles. B. 10.2 miles
C. 11.24 miles. D. 9.8 miles

The problem says that he increases the distance he runs by 15%, not by 15 miles.

First, we get how much distance is increased in the first week, by getting the 15% of the original distance he can cover:
15% of 8.5 can be translated mathematically to
0.15 x 8.5
which is equal to 1.275
The 1.275 miles is the increase in distance he can cover. Therefore,
8.5 miles (original) + 1.275 miles (increase) = 9.775 miles

For the second week, we'll do the same, but instead of 15% of 8.5, we'll solve for 15% of the previous week, which is 9.775:
0.15 x 9.775 = 1.46625
Thus,
9.775 miles (first week) + 1.46625 miles (increase) = 11.24125 miles
We can round it off to two decimal places to become 11.24 miles.

hope this helps~ `u`

for the first week, he will run a total of x=(8.5*.15) + 8.5. So the answer for the first week is 9.775. for the second week, he will run 15% more of the 9.775 miles. So it will become x=(9.775*.15)+ 9.775. And the answer is letter c.

distance now = 8.5

one week from now = 8.5(1.15)
two weeks from now = 8.5(1.15)^2 = 11.24

To solve this problem, we need to calculate the distance James will be running two weeks from now.

Let's break it down step by step:

1. First, let's determine how much James increases his distance each week. We know that he increases it by 15% each week.

2. To find out how much James will be running two weeks from now, we need to calculate the increase in distance over two weeks.

3. To calculate the overall increase in distance, we can multiply the initial distance by the percentage increase for each week.

Let's work through the calculation:

1. James is running 8.5 miles this week.

2. To find the increase in distance for one week, we multiply 8.5 by 15%:

Increase for one week = 8.5 * 0.15 = 1.275 miles

3. Now, let's calculate the overall increase in distance over two weeks:

Increase for two weeks = Increase for one week * 2 = 1.275 * 2 = 2.55 miles

4. Finally, we add the overall increase in distance to the initial distance to find the total distance James will be running two weeks from now:

Total distance = Initial distance + Overall increase in distance

Total distance = 8.5 + 2.55 = 11.05 miles

So, based on the calculations, James will be running approximately 11.05 miles two weeks from now.

Among the given answer choices, C. 11.24 miles is the closest option, although it differs slightly from the calculated result.