Simplifying Exponential Expressions
1/x20
The population in the town of Huntersville is presently 38,300. The town grows at an annual rate of 1.2%. Find the number population of the town after 9 years.
Approximately 42,640 people
Given y = 250(1.2)^t What is the initial value?
What is 250
Write an exponential growth function to model the situation. A population of 422,000 increases by 12% each year.
What is f(x) = 422,000(1.12)^x
Simplify: 6tv0
6t
(m3)3 * 2m-1
2m8
$1,200 is invested at an annual rate of 3.2%. How much money will the account have after 12 years?
$1751.21
Given y = 250(1.2)^t, what is the common factor?
What is 1.2
The population of Baconburg starts off at 20,000, and grows by 13% each year. Write an exponential growth model and find the population after 10 years.
What is f(10) = 20,000(1.13)^10 and population of 67,891
Simplify: (42)(x-2)
8 / x2
x/(2x0)2
x/4
Given y = 250(1.2)^t, what is the percent increase per x?
What is 20%
The Hippityhoppity bunny decided to have a family reunion at the Magic Forest every 5 years. During the second reunion the family discovered that the number of family members was 154 and was growing at an annual rate of 3.2%. Write an equation to model the growth of the bunny family.
What is f(x) = 154(1.032)^x
Simplify: 4(x-2)(g3)
(4g3) / (x2)
(2m-4)/(2m-4)3
m8/4
The value of a car was $22,000 when it was purchased. They car depreciates at a rate of 19% per year. How much will the car be worth in 8 years?
$4,076.64
What is true about the common factor for all exponential functions, both growth and decay?
The common factor will always be a positive number.
The fish in The Magic Forest Lake were declining at an annual rate at 1.5%. Their current number is estimated at 2,500. Write an equation to model the decreasing number of fish.
What is y = 2500(.985)^x
Simplify: ( (4^-2)(x^-5)(y^-9)(z^-3) )^0
1
(2hj2k-2h4j-1k4)0/(2h-3j-4k-2)
(h3j4k2)/(2)
The value of a stock today is $10 a share. The price went down at a constant rate of 4% per day. How much was the stock worth 3 days ago?
$11.30
True or false: (-x)2 always equals -x2
False
The fish in The Magic Forest Lake were declining at an annual rate at 1.5%. Their population was estimated at 2,500 four years ago. How many fish are in the lake now?
( (x^-2)(y^2) ) / ( (b^-4)(c^4) )
( (b^4)(y^2) ) / ( (c^4)(x^2) )