Find the annual percent increase of decrease that y = 0.35(2.3)^x models.

Question

a) 230% increase

b) 130% increase

c) 30% decrease

d) 65% decrease

Answer 1

The formula for percent increase or decrease is:

percent increase/decrease = (new value - old value) / old value * 100%

In this case, the old value is y = 0.35(2.3)^x and the new value is y = 0.35(2.3)^(x+1) (since we are looking at an annual increase or decrease).

So, the percent increase/decrease is:

percent increase/decrease = (0.35(2.3)^(x+1) - 0.35(2.3)^x) / 0.35(2.3)^x * 100%

Simplifying this expression, we get:

percent increase/decrease = (2.3 - 1) * 100% = 130% increase

Therefore, the answer is (b) 130% increase.