Question

an object is moving at a speed of 2 meters per day. express this speed in yards per year. 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 foot (ft) = 12 inches (in) 1 minute (min) = 60 seconds (sec) 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 (week) = 7 days (days) 1 kilometer (km) = 1000 meters (m) 1 month (month) = 30 days (days) 1 inch (in) = 2.54 centimeters (cm) 1 year (year) = 365 days (days) 1 foot (ft) = 0.305 meters (m) 1 mile (mi) = 1.609 kilometers (km)

Explanation:

Step1: Convert meters to feet

We know that \( 1 \text{ foot (ft)} = 0.305 \text{ meters (m)} \), so to convert meters to feet, we use the conversion factor \( \frac{1 \text{ ft}}{0.305 \text{ m}} \). The speed is \( 2 \text{ m/day} \), so in feet per day, it is \( 2 \text{ m/day} \times \frac{1 \text{ ft}}{0.305 \text{ m}}=\frac{2}{0.305}\text{ ft/day} \approx 6.5574 \text{ ft/day} \)

Step2: Convert feet to yards

We know that \( 1 \text{ yard (yd)} = 3 \text{ feet (ft)} \), so to convert feet to yards, we use the conversion factor \( \frac{1 \text{ yd}}{3 \text{ ft}} \). So the speed in yards per day is \( 6.5574 \text{ ft/day} \times \frac{1 \text{ yd}}{3 \text{ ft}}=\frac{6.5574}{3}\text{ yd/day} \approx 2.1858 \text{ yd/day} \)

Step3: Convert days to years

We know that \( 1 \text{ year (year)} = 365 \text{ days (days)} \), so to convert days to years, we use the conversion factor \( \frac{365 \text{ days}}{1 \text{ year}} \) (or equivalently, when converting from per day to per year, we multiply by 365). So the speed in yards per year is \( 2.1858 \text{ yd/day} \times 365 \text{ days/year} \approx 2.1858\times365 \)

Calculating \( 2.1858\times365 = 797.817 \)

Step4: Round to the nearest whole number

Rounding \( 797.817 \) to the nearest whole number gives \( 798 \)

Answer:

\( 798 \)