Questions: A clerk processes 62 invoices in 4 hours. How many invoices can the clerk process by working at this rate for 40 hours per week for 6 weeks? A 1,022 B 1,488 C 2,480 D 3,720

A clerk processes 62 invoices in 4 hours. How many invoices can the clerk process by working at this rate for 40 hours per week for 6 weeks?

A 1,022
B 1,488
C 2,480
D 3,720
Transcript text: A clerk processes 62 invoices in 4 hours. How many invoices can the clerk process by working at this rate for 40 hours per week for 6 weeks? A 1,022 B 1,488 C 2,480 D 3,720
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Solution

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Solution Steps

Step 1: Determine the Rate of Processing Invoices

First, we need to find out how many invoices the clerk processes per hour. Given that the clerk processes 62 invoices in 4 hours, we calculate the rate as follows:

\[ \text{Rate per hour} = \frac{62 \text{ invoices}}{4 \text{ hours}} = 15.5 \text{ invoices per hour} \]

Step 2: Calculate Total Hours Worked

Next, we calculate the total number of hours the clerk works over 6 weeks, given that the clerk works 40 hours per week:

\[ \text{Total hours} = 40 \text{ hours/week} \times 6 \text{ weeks} = 240 \text{ hours} \]

Step 3: Calculate Total Invoices Processed

Now, we use the rate of processing invoices to find out how many invoices the clerk can process in 240 hours:

\[ \text{Total invoices} = 15.5 \text{ invoices/hour} \times 240 \text{ hours} = 3720 \text{ invoices} \]

Final Answer

The number of invoices the clerk can process in 6 weeks is \(\boxed{3,720}\). Therefore, the answer is D.

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