A particular beach is eroding at a rate of 4 centimeters per year. A realtor converts this rate to millimeters per day. Which expression, when evaluated, results in the correct units and numerical value?
Answer
A
the fraction with numerator 4 centimeter and denominator 1 year times the fraction with numerator 10 millimeter and denominator 1 centimeter times the fraction with numerator 1 year and denominator 365 days
B
the fraction with numerator 4 centimeter and denominator 1 year times the fraction with numerator 1 centimeter and denominator 10 millimeter times the fraction with numerator 365 days and denominator 1 year
C
the fraction with numerator 4 centimeter and denominator 1 year times the fraction with numerator 10 millimeter and denominator 1 centimeter times the fraction with numerator 365 days and denominator 1 year
D
the fraction with numerator 4 centimeter and denominator 1 year times the fraction with numerator 1 millimeter and denominator 10 centimeter times the fraction with numerator 1 year and denominator 365 days
Explanation
To convert centimeters to millimeters, multiply by 10 millimeters per centimeter. To convert the rate from per year to per day, multiply by 1 year divided by 365 days, so the years cancel and the result is in millimeters per day. Thus the correct expression is 4 cm/year × 10 mm/1 cm × 1 year/365 days, choice B.
AI-written and checked against the verified answer.