Aconservationist 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?

She should use 0.989 as the common ratio.

Step-by-step explanation:

Given: A conservationist determines that a particular beach is eroding at a rate of 1.1% each year.

i.e. the rate of decay k= 1.1%=0.011

When writing an explicit formula to represent the amount of beach remaining each year, the common ratio 'r' for decay rate k is written as :

Hence, she should use 0.989 as the common ratio.