The fish population of lake collins is decreasing at a rate of 5% per year. in 2004 there were about 1,350 fish. write an exponential decay function that models this situation. then find the population in 2010.

Part 1) The exponential function is equal to

Part 2) The population in 2010 was  

Step-by-step explanation:

Part 1) Write an exponential decay function that models this situation

we know that

In this problem we have a exponential function of the form

where

y ----> the fish population of Lake Collins since 2004

x ----> the time in years

a is the initial value

b is the base

we have

substitute

----> exponential function that represent this scenario

Part 2) Find the population in 2010

we have

so

For

substitute

step-by-step explanation: i dont

x + y = 90 5x – 10y = 90 90 – 10y = 5x 90 + 10y = 5x

step-by-step explanation:

last month maria hiked the 5-mile mountain trail a number of times and she hiked the 10-mile canal trail several times. let x represent the number of times she hiked the 5-mile trail, and let y represent the number of times she hiked the 10-mile trail. if she hiked a total of 90 miles, which equation can be used to find the number of times maria hiked each trail? x + y = 90 5x – 10y = 90 90 – 10y = 5x 90 + 10y = 5x