Question

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.

Explanation:

Step1: Calculate first week's total

Sum the first week's lunch costs: \(12.99 + 10.50 + 9.89 + 6.90 + 7.58\).
\(12.99 + 10.50 = 23.49\); \(23.49 + 9.89 = 33.38\); \(33.38 + 6.90 = 40.28\); \(40.28 + 7.58 = 47.86\).

Step2: Find first week's mean

Divide total by 5 (number of lunches): \(\frac{47.86}{5} = 9.572\).

Step3: Calculate second week's total

Second week total = First week total + 2: \(47.86 + 2 = 49.86\).

Step4: Find second week's mean

Divide second week total by 5: \(\frac{49.86}{5} = 9.972\).

Step5: Find the increase

Subtract first mean from second mean: \(9.972 - 9.572 = 0.4\).

Answer:

\(0.40\) (rounded to nearest penny)