Exponential Growth
Exponential Decay
Arithmetic Sequences
Geometric Sequences
Equations and Transformations
100
A cat population of 200 is increasing at a rate of 20% per month. What equation would represent the cat's population, y, after x amount of months?
What is y= 200(1.2)^x or y = 200(1+0.20)^x
100
A new car cost $25,000 and depreciates at a rate of 20% per year. What function could model the value of the car after x years?
What is y=25,000(0.80)^x
100
What is the common difference of the sequence 2, 10, 18...
What is d=8
100
What is the common ratio for the sequence 81, 27, 9...
What is r=1/3
100
Solve the equation 2^x=8
What is x=3
200
The equation y =3000(1.3)^x represent the population of some ducks after x years. Identify the initial population of ducks, the growth factor, and the growth rate.
What is Initial population is 3,000. Growth factor is 1.3 and the growth rate is 30% per year.
200
The function y=13,000(0.75)^x represents the value of a used car after x years. Identify the initial value of the car, the decay factor, and the decay rate.
What is $13,000 is initial value of the car, 0.75 is the decay factor, and 25% per year is the decay rate.
200
What is the explicit formula for the sequence 10, 7, 4...? **Must be simplified
What is An=-3n+13
200
What is the explicit formula for the sequence 2, 4, 8?
What is An=2(2)^n-1
200
Solve the equation 9^(x+2)=27^(x+15)
What is x=-41
300
The initial population of a bacteria is 3,000. It is growing at a rate of 32% per hour. How much bacteria are there after 1 day?
What is about 2,359,068 bacteria.
300
A boat cost $15,465 and the value decreases at a rate of 15% per year. How much will the boat be worth after 5 years?
What is $6861.90.
300
What is the recursive form for the sequence 3, 6, 9....
What is An= An-1+3
300
What is the 12th term of the sequence 3, 12, 48,...
What is 12,582,912
300
What is the effect of h in the function y =2^(x+3)+4
What is h moves the function left 3.
400
A bank balance of 3000 is compounded monthly at a rate of 4%. What is the equation that models the bank balance?
What is A = 3000(1+0.04/12)^12t
400
From a graph, how can you tell if an exponential function is decaying ?
What is The function decreases left to right.
400
An auditorium had 30 chairs in the first row, 35 in the second row, 40 in the 3rd row,.... all the way up to the 30th row. How many chairs are in the 25th row?
What is 150 chairs.
400
A population of rabbits has an initial population of 300, after 1 week 600, after 2 weeks 1200. What is the recursive formula to represent the population of rabbits?
What is An=2(An-1)
400
How does the function f(x)=2^(x) -3 differ from f(x)=2^(x)
What is the function is moved down 3.
500
An investment of $5,000 at a rate of 5% is compounded semi-annually. How much is the investment balance after 5 years?
What is $6400.42
500
From an equation, how can you tell if an exponential function is decaying ?
What is the b is a number between 0 and 1.
500
A display had 100 cubes in the top row, 90 cubes in the 2nd row, all the way to the bottom row. If the pattern continued, What row had 60 cubes?
What is the 5th row.
500
A population has 400 bacteria after 1 week, 1200 after 2 weeks, 3600 after 3 weeks. If the pattern continues how many bacteria will there be after 12 weeks?
What is 70,858,800
500
What is the equation of the asymptote of the function y=3^(x-3)+4?
What is y=4
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