Question 6
5 pts
1
Details
50
イenu
Evaluating and Solving Exonential Functions
The water level of Lake Yoda was at a record high of 500 feet in the year 2002, but has been dropping 2.2% every year since. The Forest Service is concerned that when it reaches the low level mark of 250 , they will have to close the lake to public use. They are trying to predict in what year the water level will reach 250 feet if it continues to drop at a rate of 2.2% a year. Solve this problem algebraically by completing the following steps.
Write the function that represents the change in the water level of Lake Yoda since 2002 in the form L(t)=a(b)^(t) where L(t) represents the water level of the lake t years after 2002.
Function: L(t)=
Write an equation that can be used to determine in what year the water level will reach 250 feet.
Equation:
Solve this equation and write your answer in exact form (as a logarithm).
Equation written as a log:
Rewrite the equation using the Change of Base rule
Equation written using Change of Base:
Finally, solve the equation for t and complete the sentence below. Round your answer down to the nearest year.
If the water level of Lake Yoda continues to drop at 2.2% a year, it's level will drop to 250 feet in the year
5pts 1Details
O Question 6
Evaluating and Solving Exonential Functions
nents
The water level of Lake Yoda was at a record high of 500 feet in the year 2002, but has been dropping 2.2% every year since. The Forest Service is concerned that when it reaches the low level mark of 250, they will have to close the lake to public use.They are trying to predict in what year the water level will reach 250 feet if it continues to drop at a rate of 2.2% a year. Solve this problem algebraically by completing the following steps. Write the function that represents the change in the water level of Lake Yoda since 2002 in the form L(t)=a(b)where L(t) represents the water level of the lake t years after 2002.
50
FunctionLt)= Write an equation that can be used to determine in what year the water level will reach 250 feet.
lenu
Equation: Solve this equation and write your answer in exact form (as a logarithm).
Equation written as a log:
Rewrite the equation using the Change of Base rule
Equation written using Change of Base: Finally, solve the equation for t and complete the sentence below. Round your answer down to the nearest year.
If the water level of Lake Yoda continues to drop at 2.2% a year, it's level will drop to 250 feet in the
veal