In an exponential function, what does the 'a' represent?
SLOPE
RATE OF CHANGE
Y-INTERCEPT
COMMON RATIO
2. Multiple Choice
1 minute
1 pt
What is a, the starting term, for the function: f(x) = 300(1.16)x?
300
1.16
.16
x
3. Multiple Choice
1 minute
1 pt
What is b, the common ratio, for the function: f(x) = 300(1.16)x?
300
1.16
.16
x
4. Multiple Choice
1 minute
1 pt
What is a, the starting term, for the function: f(x) = 800(0.85)x?
800
0.85
0.15
x
5. Multiple Choice
1 minute
1 pt
A population of 2200 beetles is too large to sustain and decreases in population each month at a rate of 5%. How would you write your decay factor, b?
-5
-.05
.95
.05
6. Multiple Choice
1.5 minutes
1 pt
The value of a car is $15,000 and depreciates at a rate of 8% per year. What is the decay factor?
.08
1.08
.92
8
7. Multiple Choice
45 seconds
1 pt
Which of the following functions shows an initial amount of $15 and an increase of 35% each year?
y = 15(35)x
y = 15(1.35)x
y = 15(0.35)x
y = 35(1.15)x
8. Multiple Choice
1 minute
1 pt
Classify the model as Exponential GROWTH or DECAY. A=1200(.85)6
Growth
Decay
9. Multiple Choice
1 minute
1 pt
Classify the model as Exponential GROWTH or DECAY. A=10(1.01)3
Growth
Decay
10. Multiple Choice
1.5 minutes
1 pt
What is the decay rate in the following model? A=1200(.85)6
-1200
-.15
6
-6
11. Multiple Choice
1 minute
1 pt
Is the pictured graph growth, decay, or linear or none?
Exponential Growth
Exponential Decay
Linear
None
12. Multiple Choice
1 minute
1 pt
What type of function is y = 7(5/4)x?
Exponential Growth
Exponential Decay
Linear
None of the above
13. Multiple Choice
1 minute
1 pt
Is this exponential growth or decay?
Growth
Decay
14. Multiple Choice
45 seconds
1 pt
James' 70 in. giant peach doubles in size every week. Write an expression that would represent how big the peach is after 5 weeks.
70(2)35
70(2)5
2(70)5
5(70)2
15. Multiple Choice
45 seconds
1 pt
Write an equation that models the following situation: Samantha's hair was known to grow very rapidly. It began at a length of 6 in and grew at a rate of 14% a week.
y=6(0.14)x
y=6(1+14)x
y=6(1.14)x
y=6(0.86)x
16. Multiple Choice
1.5 minutes
1 pt
Suppose a culture of bacteria begins with 5000 cells and dies by 30% each year. Write an equation that represents this situation.
y=5000(0.7)x
y=30(5000)x
y=5000(1.3)x
y=5000xx
17. Multiple Choice
1.5 minutes
1 pt
A population of fish starts at 8,000 and decreases by 6% per year. What is the population of fish after 10 years?
14327
4309
839
7680
18. Multiple Choice
1.5 minutes
1 pt
Daniel’s Print Shop purchased a new printer for $35,000. Each year it depreciates at a rate of 5%. How much will the printer be worth in 8 years?
$23,219.72
$136.72
$51,710.94
$16,710.94
19. Multiple Choice
1.5 minutes
1 pt
The number of mosquitoes at the beginning of the summer was 4,000. The population of mosquitoes is expected to grow at a rate of 25% a month. How many mosquitoes will there be after 4 months?
9766
9006
9765
5433
20. Multiple Choice
1.5 minutes
1 pt
Twenty years ago, Mr. Davis purchased his home for $160,000. Since then, the value of the home has increased about 5% per year. How much is the home worth today?