Derivatives Of Exponential Functions worksheets
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Q. Which of the following functions shows an initial amount of $15 and an increase of 35% each year?
answer choices
y = 15(35)x
y = 15(1.35)x
y = 15(0.35)x
y = 35(1.15)x
Q. Is the pictured graph growth, decay, or linear or none?
answer choices
Exponential Growth
Exponential Decay
Linear
None
Q. Is this exponential growth or decay?
answer choices
Growth
Decay
Q. 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.
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.
answer choices
y=6(0.14)x
y=6(1+14)x
y=6(1.14)x
y=6(0.86)x
Q. A population of fish starts at 8,000 and decreases by 6% per year. What is the population of fish after 10 years?
answer choices
14327
4309
839
7680
Q.
Cooper purchased a new truck for $35,000. Each year it depreciates at a rate of 5%. How much will the truck be worth in 8 years?
answer choices
$23,219.72
$136.72
$51,710.94
$16,710.94
Q. 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?
answer choices
9766
9006
9765
5433
Q. A stamp gets more expensive each year. It increases in value by 60 % each year. What is the growth FACTOR?
answer choices
.6
1.06
1.6
.4
Q. Suppose you deposit $3000 in a savings account that pays interest at an annual rate of 4%. What is the growth factor?
answer choices
.96
1.4
1.04
$3000
Q. Classify the model as Exponential GROWTH or DECAY.
A=1200(.85)6
A=1200(.85)6
answer choices
Growth
Decay
Q. What is a, the initial amount, for the function: f(x) = 300(1.16)x?
answer choices
300
1.16
.16
x
Q. What does the a in y=a(1+r)x represent?
answer choices
Time
Rate
Slope
Initial Amount
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