Exponents Exponential Functions

• Linear Growth

• Linear Decay

• Exponential Growth

• Exponential Decay

Which of the following exponential functions represents an initial value of 1450 and a decay of 18% for x years?

Which of the following exponential functions represents an initial value of 1780 and a growth of 18% for x years?​

Karla invested $1,000 in savings bonds. If the bonds earn 6.75% interest compounded semi-annually.

Which exponential equation can be used to find how much money Karla will earn in 15 years?

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Write the explicit formula for the geometric sequence.

• a_n = 4(3)^n-1

• a_n = 3(4)^n-1

• a_n = -4(3)^n-1

• a_n = 3(-4)^n-1

Find the first four terms of the sequence given the rule:
a_n = 4(5)^n-1

• 20, 100, 500, 2500

• 5, 20, 80, 320

• 4, 20, 100, 500

• 4, 9, 14, 19

• A

• C

• B

• D

Is the pictured graph growth, decay, or linear or none?  

• Exponential Growth

• Exponential Decay

• Linear

• None

Pick the equation that is exponential growth

• y=2(0.5)^x

• y = 0.5(2)^x

The amount of ants in a colony, f, that is decaying can be modeled by f(x) = 800(.87)^x, where x is the number of days since the decay started. Suppose f(20) = 49. Which of the following is true?

• After 20 days, there are 49 ants in the colony.

• After 49 days there are 20 ants in the colony.

• The amount of ants times 20 is 49.

• After 20 days the amount of ants remaining decreases by 49.