a conservationist determines that a particular beach is eroding at a rate of 1.1% each year. when writing an…

a conservationist determines that a particular beach is eroding at a rate of 1.1% each year. when writing an explicit formula to represent the amount of beach remaining each year, which value should she use as the common ratio? 0.011 0.089 0.989 1.011

a conservationist determines that a particular beach is eroding at a rate of 1.1% each year. when writing an explicit formula to represent the amount of beach remaining each year, which value should she use as the common ratio? 0.011 0.089 0.989 1.011

Answer

Explanation:

Step1: Understand the erosion rate

The beach is eroding at a rate of 1.1% each year. This means the remaining amount of beach each year is (100% - 1.1%) of the previous - year's amount.

Step2: Convert the percentage to a decimal

100% is 1 in decimal form, and 1.1% is 0.011 in decimal form. So the remaining amount is $1 - 0.011$.

Step3: Calculate the common - ratio

$1-0.011 = 0.989$.

Answer:

C. 0.989