Question
A person earns 17/5 dollars in 1/2 hours. What is the unit rate in dollars per hour?
645 dollars/hour
512 dollars/hour
412 dollars/hour
312 dollars/hou
645 dollars/hour
512 dollars/hour
412 dollars/hour
312 dollars/hou
Answers
GPT-4o mini
To find the unit rate in dollars per hour, we can first determine how much the person earns in one hour.
Given that the person earns \( \frac{17}{5} \) dollars in \( \frac{1}{2} \) hour, we can calculate the earnings for one full hour as follows:
\[
\text{Earnings in 1 hour} = \text{Earnings in } \frac{1}{2} \text{ hour} \times 2
\]
Calculating this:
\[
\text{Earnings in 1 hour} = \frac{17}{5} \times 2 = \frac{17 \times 2}{5} = \frac{34}{5}
\]
Now, we need to convert \( \frac{34}{5} \) into a decimal for ease of interpretation:
\[
\frac{34}{5} = 6.8
\]
Therefore, the unit rate is \( 6.8 \) dollars per hour.
None of the options you've provided (645 dollars/hour, 512 dollars/hour, 412 dollars/hour, 312 dollars/hour) are correct. The correct answer is 6.8 dollars per hour.
Given that the person earns \( \frac{17}{5} \) dollars in \( \frac{1}{2} \) hour, we can calculate the earnings for one full hour as follows:
\[
\text{Earnings in 1 hour} = \text{Earnings in } \frac{1}{2} \text{ hour} \times 2
\]
Calculating this:
\[
\text{Earnings in 1 hour} = \frac{17}{5} \times 2 = \frac{17 \times 2}{5} = \frac{34}{5}
\]
Now, we need to convert \( \frac{34}{5} \) into a decimal for ease of interpretation:
\[
\frac{34}{5} = 6.8
\]
Therefore, the unit rate is \( 6.8 \) dollars per hour.
None of the options you've provided (645 dollars/hour, 512 dollars/hour, 412 dollars/hour, 312 dollars/hour) are correct. The correct answer is 6.8 dollars per hour.