An object is moving at a speed of 6 inches every 4.5 days. Express this speed in yards per year. Round your answer to the nearest tenth
To convert inches to yards, we divide by 36 inches, since there are 36 inches in 1 yard. Thus, the object is moving at a speed of 6/36 = 1/6 yards every 4.5 days.
To convert days to years, we divide by 365 days, since there are 365 days in 1 year. Thus, the object is moving at a speed of (1/6) / (4.5/365) = (1/6) * (365/4.5) = 30.5555556 yards per year.
Rounded to the nearest tenth, the speed is 30.6 yards per year.
To express the speed in yards per year, we need to convert the units.
1 yard is equal to 36 inches (since there are 12 inches in a foot and 3 feet in a yard).
First, let's convert the speed from inches per day to yards per day:
Speed in inches per day = 6 inches / 4.5 days = 1.333... inches per day
Now, let's convert the speed from inches per day to yards per year:
Speed in yards per day = 1.333... inches per day * (1 yard / 36 inches) = 0.037... yards per day
Since there are 365.25 days in a year (accounting for leap years), we can calculate the speed in yards per year:
Speed in yards per year = 0.037... yards per day * 365.25 days = 13.5 yards per year
Rounding to the nearest tenth, the speed in yards per year is approximately 13.5 yards per year.