Question

an object is moving at a speed of 3 miles every 8 years. express this speed in centimeters per day. 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 (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 miles to centimeters

We know 1 mile = 5280 feet, 1 foot = 12 inches and 1 inch = 2.54 centimeters. So for 3 miles:
\[3\times5280\times12\times2.54 = 3\times5280\times30.48=482803.2\text{ cm}\]

Step2: Convert years to days

Since 1 year = 365 days, for 8 years:
\[8\times365 = 2920\text{ days}\]

Step3: Calculate speed in cm per day

Speed \(v=\frac{\text{distance}}{\text{time}}\), so \(v=\frac{482803.2}{2920}\approx165.34\)

Answer:

165