Exponential Function Exit Ticket

• The graph represents an exponential growth situation.
• Eventually, the car will be worth exactly $0.
• The starting value of the car was $12,000.
• The range for the situation is y ≥ 0.

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AI.9.9.D

Jack and Jill are beginning a lawn care business. They have purchased a zero turn radius riding lawn mower for $6,500. For tax purposes, its value is expected to depreciate at a rate of 15% annually.Which function represents the value of the riding lawn mower in dollars, V(t), as a function of elapsed time in years, t?

• V(t) = (0.85)^t

• V(t) = 15(6500)^t

• V(t) = 6500(0.85)^t

• V(t) = 6500(0.15)^t

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AI.9.9.C

A sample of a substance with an initial mass of 963 grams is decaying at a rate of 27% per hour. 

 

Create a function that can be used to find y, the mass of the substance in grams remaining after x hours.

 

Enter your answer in the space provided.

Mathematical Equivalence

ON

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AI.9.9.C

The amount of fertilizer in a landscaping company’s warehouse decreases at a rate of 3% per week. The amount of fertilizer in the warehouse was originally 78,000 cubic yards. Which function models the amount of fertilizer in cubic yards left after w weeks?

• f(w) = 0.97(78,000)^w

• f(w) = 1.03(78,000)^w

• f(w) = 78,000(0.97)^w

• f(w) = 78,000(1.03)^w

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AI.9.9.C

Carl made an initial deposit of $8,000 in a savings account earning a yearly compounded interest rate of 5%.  Assuming Carl makes no additional deposits or withdrawals, which function can model this growth? 

• y = 8,000(0.95)^x

• y = 0.05(8,000)^x

• y = 8,000(0.95x)

• y = 8,000(1.05)^x

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AI.9.9.C

Identify the initial value:

y = 6.87 (4)^x

• a = 4

• a = 6.87

• a = 3

• a = 1

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AI.9.9.D

A new savings account is opened with $400 and gains 3% every year. What is the exponential function?

• f(x)=400(.97)^x

• f(x)=400(1-0.03)^x

• f(x)=400(1.03)^x

• f(x)=400(0.03)^x

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AI.9.9.C

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

• Growth

• Decay

• Linear

• None

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

• Exponential Growth

• Exponential Decay

• Linear

• None

Is this exponential growth or decay?

• Growth

• Decay