Question

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 1

Rate is 4cm/year = 40mm/365days ≈ 0.1096 mm/day

Answer 2

Answer:

$\frac{4cm}{year} *\frac{10mm}{1cm} *\frac{1year}{365 days} =0.1096 mm/day$

Step-by-step explanation:

There are ten millimetres in a centimetre. Therefore, the first step would be to multiply the centimetres by 10. First convert it to m/year:

$\frac{4cm}{year} *\frac{10mm}{1cm} =\frac{40mm}{year}$

Then to find the final answer in mm/day, the value of mm/year should be divided by 365.

$\frac{40mm}{year} *\frac{1 year}{365 days} = 0.1096 mm/day$

If you were to do this all in one step:

$\frac{4cm}{year} *\frac{10mm}{1cm} *\frac{1year}{365 days} =0.1096 mm/day$