Algebra II – Chapter 7 Day #1 Worksheet
Topic: Exponentials
Name ______________________________________________ Date _________
Standards/Goals:
 F.IF.7.e.: I can graph exponential functions showing both their intercepts and end behavior
 G.2.a.: I can graph exponential and logarithmic functions with and without technology.
 A.CED.2.: I can create exponential equations with two variables.
Without graphing, determine whether each equation represents exponential growth or
exponential decay. Then find the y-intercept. State what ‘a’ is and what ‘b’ is.
1. y = 9x
2. y = 2(.5)x
3. y =8( 2)x
a=
a=
a=
b=
b=
b=
y-intercept:
y-intercept:
y-intercept:
(circle one): growth or decay:
1
(circle one): growth or decay:
(circle one): growth or decay:
5. y = 0.7x
6. y    
2
x
4. y   
4
1
 
x
a=
a=
a=
b=
b=
b=
y-intercept:
y-intercept:
y-intercept:
(circle one): growth or decay:
7. y = 15x
(circle one): growth or decay:
(circle one): growth or decay:
8. y = 158(0.05)x
9. y = 1.093(0.93)x
a=
a=
a=
b=
b=
b=
y-intercept:
y-intercept:
y-intercept:
(circle one): growth or decay:
10. y = 0.12(1.87)x
(circle one): growth or decay:
11. y = 1.96x
(circle one): growth or decay:
12. y = 2(1.8)x
a=
a=
a=
b=
b=
b=
y-intercept:
y-intercept:
y-intercept:
(circle one): growth or decay:
(circle one): growth or decay:
(circle one): growth or decay:
 9
13. y  2  
 10 
x
14. y = 5.61(0.32)x
15. y = 7.2(2.9)x
a=
a=
a=
b=
b=
b=
y-intercept:
y-intercept:
y-intercept:
(circle one): growth or decay:
(circle one): growth or decay:
(circle one): growth or decay:
FORMULA: A(t) = 𝒂(𝟏 + 𝒓)𝒕
#16. Joey put $90,000 into an account that earns 4.8% annual interest. The interest is
compounded annually and there are no withdrawals. How much money will be in the account
at the end of 20 years?
#17. A manufacturer bought a new rolling press for $150,000. It has depreciated in value at an
annual rate of 10%. What is its value 10 years after purchase? Round to the nearest hundred
dollars.
#18. The price of a new home is $256,000. The value of the home appreciates 3.5% each year. How
much will the home be worth in 6 years?
#19. A car depreciates 15% each year. If you bought this car today for $35,000, how much will it be
worth in 10 years?
x
3
#20. Error Analysis A classmate says that y =   represents exponential decay. What is the student’s
2
mistake?