Question
A computer programmer can write 8 programs in 2 weeks at a constant rate. How many programs a day can the programmer write?
A. 1.75 programs per day
B. 0.571 programs per day
C. 0.250 programs per day
D. 4.00 programs per day
A. 1.75 programs per day
B. 0.571 programs per day
C. 0.250 programs per day
D. 4.00 programs per day
Answers
GPT-4o mini
To find out how many programs the programmer can write in a day, we first need to determine the rate at which they write programs over the given time frame.
The programmer can write 8 programs in 2 weeks. To convert weeks into days:
2 weeks = 2 × 7 days = 14 days.
Next, we calculate the rate of program writing per day:
\[
\text{Programs per day} = \frac{\text{Total programs}}{\text{Total days}} = \frac{8 \text{ programs}}{14 \text{ days}}.
\]
Now, performing the division:
\[
\text{Programs per day} = \frac{8}{14} = \frac{4}{7} \approx 0.5714.
\]
Thus, the programmer writes approximately 0.571 programs per day.
Therefore, the correct answer is:
**B. 0.571 programs per day**.
The programmer can write 8 programs in 2 weeks. To convert weeks into days:
2 weeks = 2 × 7 days = 14 days.
Next, we calculate the rate of program writing per day:
\[
\text{Programs per day} = \frac{\text{Total programs}}{\text{Total days}} = \frac{8 \text{ programs}}{14 \text{ days}}.
\]
Now, performing the division:
\[
\text{Programs per day} = \frac{8}{14} = \frac{4}{7} \approx 0.5714.
\]
Thus, the programmer writes approximately 0.571 programs per day.
Therefore, the correct answer is:
**B. 0.571 programs per day**.