QUESTION IMAGE
Question
an object is moving at a speed of 25 yards every 6.5 days. express this speed in feet per month. round your answer to the nearest whole number.
*note: you must use these exact conversion factors to get this question right.
| distance / length | time |
|---|---|
| 1 yard (yd) = 3 feet (ft) | 1 hour (hr) = 60 minutes (min) |
| 1 mile (mi) = 5280 feet (ft) | 1 day (day) = 24 hours (hr) |
| 1 meter (m) = 100 centimeters (cm) | 1 week (wk) = 7 days (days) |
| 1 kilometer (km) = 1000 meters (m) | 1 month (mo) = 30 days (days) |
| 1 inch (in) = 2.54 centimeters (cm) | 1 year (yr) = 365 days (days) |
|1 foot (ft) = 0.3048 meters (m)|
|1 mile (mi) = 1.609 kilometers (km)|
Step1: Convert yards to feet
Since 1 yard = 3 feet, for 25 yards, the number of feet is $25\times3 = 75$ feet.
Step2: Find the number of 6.5 - day periods in a month
Given 1 month = 30 days, the number of 6.5 - day periods in 30 days is $\frac{30}{6.5}$.
Step3: Calculate the speed in feet per month
The speed $v$ in feet per month is the number of feet in 6.5 days times the number of 6.5 - day periods in a month. So $v=75\times\frac{30}{6.5}=\frac{2250}{6.5}\approx346$ feet per month.
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346