Worksheets2/11 Exponential Functions
Total questions: 20
Worksheet time: 5hrs 0mins
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% each week.
y = 6(0.14)x
y = 6(14)x
y = 6(1.14)x
y = 6(0.86)x
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?
9,766
7,910
5,386
5,433
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
A population of fish starts at 8,000 and decreases by 6% per year. What is the population of fish after 10 years?
14,327
4,309
839
7,680
Which equation accurately represents the sequence below?
26, 21, 16, 11,...
an=26−5n
an=31−5n
an=26(−5)n−1
an=26(−5)n
Given the sequence:
25, 21, 17, 13,...
Write the explicit equation that models the sequence.
an = 4n + 21
an = 33 - 4n
an = 29 - 4n
an = 4n + 25
Which equation accurately represents the sequence below?
400, 200, 100, 50, 25, ...
an=400−2n
an=402−2n
an=400(21)n−1
an=400(21)n
A(n) _________________ function will ADD the same number each time.
Linear
Exponential
Neither
A(n) _________________ function will MULTIPLY the same number each time.
Linear
Exponential
Neither
You have $5 and triple your money every day.
You have $10 and earn $5 every week.
Given the following table of values, construct the function that represents the sequence.
y = 3(4)x
y = 3x + 4
y = 4(3)x
y = 4x + 3
The function g(x) = 4x +15 represents the cost to rent x movies each month from an online company. What is g(4), and what does it represent?
The value of g(4) is $16, and it represents the total cost if a customer rents 4 movies in one month.
The value of g(4) is $16, and it represents the cost per movie rental.
The value of g(4) is $31, and it represents the total cost if a customer rents 4 movies in one month.
The value of g(4) is $31, and it represents the cost per movie rental.
The function 𝒄(𝒈) can be used to represent the total cost, 𝒄, for 𝒈 gallons of gas. What does 𝒄(𝟒) = 𝟏𝟐 represent?
A customer buys 4 gallons of gas at a rate of $12 per gallon.
A customer buys 12 gallons of gas at a rate of $4 per gallon.
The total cost for 4 gallons of gas is $12.
The total cost for 12 gallons of gas is $4.
The value of 𝑓(2) is 56, and it represents the millions of new viewers 2 weeks after the release of the television series.
The value of 𝑓(2) is 56, and it represents the number of weeks it will take for there to be 2 million new viewers.
The value of 𝑓(2) is approximately 9.3, and it represents the millions of new viewers 2 weeks after the release of the television series.
The value of 𝑓(2) is approximately 9.3, and it represents the number of weeks it will take for there to be 2 million new viewers.
144.4 pounds per week
196 pounds per week
288.8 pounds per week
334 pounds per week
The average rate of change is $24, meaning that amusement park tickets cost, on average, $24 per person.
The average rate of change is $24, meaning that amusement park tickets cost, on average, $96 for every three people.
The average rate of change is $72, meaning that amusement park tickets cost, on average, $24 per person.
The average rate of change is $72, meaning that amusement park tickets cost, on average, $96 for every three people.
