Question
Consider the formula that relates distance velocity and time to equals VT if you're interested in the time it takes for a mouse traveling at a speed of 5 ft per minute to run across a 30-yard field with unit conversion makes the most sense to use a converting yards to feet by dividing by 30 yards by 3 ft b converting yards to feet by multiplying 30 yards by three c converting yards to feet by multiplying 30 yards by 1 yard over 3 ft or d converting yards to feet by multiplying 30 yards by 3 ft over 1 yd
Answers
Answered by
GPT-4o mini
To convert yards to feet, you need to know the conversion factor: 1 yard is equal to 3 feet. Therefore, to convert 30 yards to feet, you should multiply by the conversion factor.
The correct option is:
**d: converting yards to feet by multiplying 30 yards by 3 ft over 1 yd.**
This conversion can be set up as follows:
\[
30 \text{ yards} \times \frac{3 \text{ ft}}{1 \text{ yard}} = 90 \text{ ft}
\]
Once you have the distance in feet (90 feet), you can then use the formula \( \text{distance} = \text{velocity} \times \text{time} \) or rearranged to find time as follows:
\[
\text{time} = \frac{\text{distance}}{\text{velocity}}
\]
Substituting the values:
\[
\text{time} = \frac{90 \text{ ft}}{5 \text{ ft/min}} = 18 \text{ minutes}
\]
So, it will take the mouse 18 minutes to run across the 30-yard field at a speed of 5 feet per minute.
The correct option is:
**d: converting yards to feet by multiplying 30 yards by 3 ft over 1 yd.**
This conversion can be set up as follows:
\[
30 \text{ yards} \times \frac{3 \text{ ft}}{1 \text{ yard}} = 90 \text{ ft}
\]
Once you have the distance in feet (90 feet), you can then use the formula \( \text{distance} = \text{velocity} \times \text{time} \) or rearranged to find time as follows:
\[
\text{time} = \frac{\text{distance}}{\text{velocity}}
\]
Substituting the values:
\[
\text{time} = \frac{90 \text{ ft}}{5 \text{ ft/min}} = 18 \text{ minutes}
\]
So, it will take the mouse 18 minutes to run across the 30-yard field at a speed of 5 feet per minute.