Exponential Growth & Decay

Exponential Growth & Decay

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Multiple Choice

(2⁸)²

• 2¹⁶
• 2¹⁰
• 2⁶
• 2⁴

Multiple Choice

x⁻⁶

• 1 ⁄ x⁶
• x⁶
• -x⁶
• -1 ⁄ x⁶

Multiple Choice

n²⋅n⁴⋅n⁵

• n¹¹
• n⁴⁰
• n¹³
• n²²

Multiple Choice

Simplify: 
(9n⁴)(6n⁷)

• 54n¹¹
• 15n¹¹
• 15n²⁸
• 54n²⁸

Multiple Choice

Simplify $$\left(5x^3\right)^2$$  

• $$10x^{15}$$  

• $$25x^6$$  

• $$9x^4$$  

• $$\frac{1}{3125x^5}$$  

Multiple Choice

Evaluate the expression:

$$\left(4x^0y^{-5}\right)^2$$  

• $$\frac{16}{y^{10}}$$  

• $$16y^{10}$$  

• $$\frac{16x}{y^{10}}$$  

• $$16xy^{10}$$  

Multiple Choice

Linear, exponential, or neither?

y = 4 + 2x

• Linear

• Exponential

• Neither

Multiple Choice

Linear, exponential, or neither?

y = 4(3)^x

• Linear

• Exponential

• Neither

Multiple Choice

Linear, exponential, or neither?

• Linear

• Exponential

• Neither

Multiple Choice

Linear, exponential, or neither?

• Linear

• Exponential

• Neither

Multiple Choice

In an exponential function, what does the 'a' represent?

• Input

• Rate of change

• Y-intercept/Initial value

• Output

Multiple Choice

In the linear equation, y = mx + b, the letter b is the ___________.

• y-intercept/initial value

• x-intercept

• slope

• rate of change

Multiple Choice

Which equation is represented by the table?

• y = 40(2)^x

• y = 40(1/2)^x

• y = 40 - 2x

• y = 40 - 1/2x

Multiple Choice

Write the function for the following table:

• f(x) = 5x + .08

• f(x)= 5x + 2

• f(x) = .08(5)^x

• f(x)= 2(5)^x

Multiple Choice

Samantha made an initial investment of $16,500 into her retirement account. It will pay 12.5% interest compounded annually. What will her balance be after twenty years?

• 173,994.05

• 186,789.26

• 157,494.05

• 152,383.26

Multiple Choice

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

Multiple Choice

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

Multiple Choice

what is the 101th term in this sequence of 3 5 7 9 ?

Hint: A_n=A₁+(n-1)d

• 203

• 101

• 103

• 200

Multiple Choice

Find the 25th term of the sequence if a₁ = 5 and d = 0.5

• 18
• 17
• 15
• 14

Multiple Choice

Find the 26th term in the arithmetic sequence: 20, 26, 32, 38, ...

• 182
• 176
• 170
• -118

Multiple Choice

What is the 14th term of the geometric sequence?

• 14,348,907
• 4,782,969
• 1,594,323
• 45

Multiple Choice

What is the 9^th term in a geometric sequence with a common ratio of 2 and a first term of 3?

• 384

• 768

• 1,536

• 27

Multiple Choice

The first three terms of an a sequence are 3, 11, and 19. Which formula represents the sequence?

• a_n = 8 + 3(n-1)

• a_n = 8(3)^n-1

• a_n = 3 + 8(n-1)

• a_n = 3 + 8n

Multiple Choice

$$\left(2n^{-3}\right)^5$$  

• $$\frac{36}{n^{10}}$$  

• $$\frac{1}{n^4}$$  

• $$\frac{32}{n^{15}}$$  

• $$256n^8$$  

Multiple Choice

Simplify the expression (ab⁴)(2ab⁴)^-3

Multiple Choice

y = 1200( 1 + .03)^t

• exponential growth

• exponential decay

Multiple Choice

What is the initial value?

y = 1200( 1 + .03)^t

• 1200

• 1

• 3%

• t

Multiple Choice

What is the rate of growth or rate of decay?

y = 1200( 1 + .03)^t

• 1200

• 1

• 3%

• 30%

Multiple Choice

y = 55( 1- 0.02)^t

• exponential growth

• exponential decay

Multiple Choice

What is the initial value?

y = 55( 1- 0.02)^t

• 55

• 1

• 2%

• t

Multiple Choice

What is the rate of growth or the rate of decay?

y = 55( 1- 0.02)^t

• 55

• 1

• 2%

• 20%

Multiple Choice

y = 100(1.25)^t

• Exponential growth

• Exponential decay

Multiple Choice

What is the rate of growth or rate of decay?

y = 100(1.25)^t

• 100%

• 125%

• 25%

• 75%

Multiple Choice

y = 5575(0.65)^t

• Exponential Growth

• Exponential Decay

Multiple Choice

What is the rate of growth or rate of decay?

y = 5575(0.65)^t

• 5575%

• 65%

• 35%

• 100%

Multiple Choice

y = 14000(0.92)^t

• Exponential Growth

• Exponential Decay

Multiple Choice

What is the rate of growth or the rate of decay?

y = 14000(0.92)^t

• 14000

• 92%

• 8%

• 80%