At devon's new job he spent $12.99, $10.50, $9.89, $6.90, and $7.58 on lunch the first week. in the second week, he spent $2 more in total for the 5 lunches than the first week. what is the increase in the mean for the second week compared to the first? round the answer to the nearest penny. enter your answer in the box. $

The correct answer is:

$0.40.

Explanation:

To find the mean of the lunch costs for the first week, we first add together all of the amounts he spent on lunch that week:

$12.99+$10.50+$9.89+$6.90+$7.58 = $47.86.

Now we divide this by the number of lunches, 5:
47.86/5 = $9.572 ≈ $9.57.

The second week he spends a total of $2 more on lunch.  Adding this to the first week's total, we have:
47.86+2 = $49.86.

To find the mean, we divide this by the number of lunches in the second week, 5:
49.86/5 = $9.972 ≈ $9.97.

The mean increased from the first week to the second week by 9.97-9.57 = $0.40.