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Multiple Choice
Find x
Growth or Decay
Word Problems
Vocabulary
100
What is the equation for Exponential Growth? a) y=a(1-r)^t b) y=a(1+r)^t c) Ao=k^et d) Ao=e^kt
What is D
100
2^x = 32, What is x?
What is x=5.
100
Growth or Decay- y = 2(3)^x
What is Growth
100
You invest $300 in a savings account. The account pays 3% interest compounded monthly. How much money is in the account after 9 years?
$392.86
100
Define term - A function that has the form F(x) = a bx, where the coefficient a is a constant, the base b is positive but not equal to 1, and the exponent x is any number.
What is Exponential Function
200
What is the equation for Exponential Decay? a) y=a(1-r)^t b) Ao=e^–kt c) Ao=-e^kt d) y=t(1+a)^t
What is b
200
find f(x) if x = 3. f(x)=7^x
What is 343
200
Growth or Decay- y = 4*(¼)^x
What is Decay
200
You deposit $4000 in an account that pays 2.92% annual interest. Find the balance after 3 years if the interest is compounded with the given frequency monthly
$4365.74
200
Define the term - The time it takes for a quantity to decrease to one-half of its size or value.
Half-Life
300
Which of the following are not exponential functions? a) f(x) = 3e^-2x b) g(x) = 2^x/2 c) h(x) = x^3/2 d) g(x) = (15/7)^x
What is C - h(x) = x^3/2
300
25^x = 15625, What is x?
x = 3
300
Growth or Decay- y = 3*(7/2)^x
What is Growth
300
Each March from 1998 to 2003, a website recorded the number y of referrals it received from Internet search engines. The results can be modeled by y = 2500(1.50)^t, where t is the number of years since 1998. Identify the initial amount, the growth factor and the annual percent increase.
What is- Initial amount- $2500, Growth factor- 1.5, and Percent increase- 50%.
300
A decrease that follows an exponential function.
What is Exponential Decay
400
What does "a" stand for in Exponential Growth equations?
What is initial amount.
400
144 = 4 * 4x, What is x?
x = 9
400
Growth or Decay- y = ¼*(4)^x
What is Growth
400
In 1996, there were 2573 computer viruses and other computer security incidents. During the next 7 years, the number of incidents increased by about 3% each year. How many incidents occured?
What is 539.63
400
A condition in which a quantity increases exponentially over time.
What is Exponential Growth
500
What happens to the rate in exponential growth functions?
Doubling time
500
Ao=1000e^-3*2
What is 2.478 = 2.48
500
Growth or Decay- y=1/3 * (-1/2)^x
What is Decay
500
A new snowmobile costs $4200. The value of the snowmobile decreases by 10% each year. What is the value of the snowmobile after 3 years?
What is $2940
500
In a function of the form y=ab^x.
What is Growth Factor.