Question

fill in the blank question at an average accumulation rate of 0.5 cm every 1000 years, it would take blank years to buildup 1 meter of sediment. (enter a whole numeral as your answer).

Explanation:

Step1: Convert meters to centimeters

Since 1 meter = 100 centimeters, we need to find the time to accumulate 100 cm of sediment.

Step2: Find the rate per year

The rate is 0.5 cm per 1000 years, so the rate per year is $\frac{0.5}{1000}$ cm/year.

Step3: Calculate time

Let $t$ be the time in years. We know that rate $\times$ time = amount. So $t=\frac{100}{\frac{0.5}{1000}}$. Simplifying, $t = \frac{100\times1000}{0.5}=200000$.

Answer:

200000