Exponent Rules
Growth or Decay?
Write the Function
Solve & Calculate
Graphs & Rates
100
Simplify
x^4*x^3
What is x7?
100
A poplation grows by 6% each year. What is its growth factor?
What is 1.06?
100
There are 200 bacteria initially, and the population grows 10% per hour. Write a model of the relationship.
What is
f(x)=200(1.10)^x?
100
A savings account has $500 and earns 8% interest after one year. What is its value?
What is $540?
100
Which equation represents exponential decay?
A) y=3(1.2)x
B) y=3(0.8)x
C) y=3+2x
D) y=3(1.08)x
What is B?
200
Simplify.
(a^3)^4
What is a12?
200
A car loses 12% of its value each year. What is the decay factor?
What is 0.88?
200
A $600 laptop depreciates by 15% per year. Write a model for its value after t years.
What is
f(t)=600(0.85)^t?
200
A population starts at 100 and doubles every year. How many are there after 3 years?
What is 800?
200
Which equation has the lowest y-intercept?
A) y=-5x
B) y=-5x
C) y=-5x+1
D) y=-5x-3
What is D?
300
Simplify.
(m^5/n^2)^-2
What is
n^4/m^10?
300
What does 450 represent in
P(x)=450 (1.75)^x?
What is the initial amount.
300
A town has 5,000 people and grows 3% per year. Write a model for the population after t years.
What is
f(t)=5000(1.03)^t?
300
A neighborhood starts with 50 houses and grows by 10% per year. About how many houses are there after 2 years?
What is about 61 houses?
300
What is the average rate of change from f(2) to f(3)?
What is 3?
400
Simplify.
(3x^-2y^3)^2
What is
(9y^6)/x^4?
400
Describe the percent change in
V(t)=800(0.93)^t.
What is "A decrease by 7%"?
400
A sculpture worth $18,000 decreases in value by 20% each year. Write an equation to find when its value reaches $9,000.
What is
18000(0.80)^t=9000?
400
A gaming system costs $799.99 and depreciates by 8% each month. What is the approximate value after 11 months?
What is about $319.71?
400
The graph g(x) is shown. What value does g(x) approach as x approaches negative infinity?
What is 2?
500
Simplify.
((a^4b^-3)/(a^-2b^2))^2
What is
a^12/b^10?
500
A savings account starts with $1,200 and earns 4.5% annual interest. Write a model of the function.
What is f(x)= 1200(1.045)x?
500
A population begins at 750 and increases by 8% each year. Write an equation to find when it reaches 1,000.
What is
750(1.08)^t=1000?
500
A $1,000 item depreciates by 10% each year. After how many whole years will its value first fall below $700?
What is 4 years?
500
Find the average rate of change of f(x) = 825(1.3)ˣ from x = 3 to x = 7.
What is about 841.1?