Let's Practice
Are you ready to take this lesson's quiz? The questions below will help you find out. Make sure you understand why each correct answer is correct--if you don't, review that part of the lesson.
The waste from an atomic energy plant decays at a rate of 3% each century. The energy plant produced 150 pounds of waste. Give the initial value and the decay factor for this scenario.
- initial value is 150, decay factor is 0.03
- initial value is 150, decay factor is 0.97
- initial value is 0.03, decay factor is 150
- initial value is 0.97, decay factor is 150
The number of pounds of waste is the initial value. The decay factor is 3% less than 100%.
The number of pounds of waste is the initial value. The decay factor is 3% less than 100%.
The number of pounds of waste is the initial value. The decay factor is 3% less than 100%.
The number of pounds of waste is the initial value. The decay factor is 3% less than 100%.
The waste from an atomic energy plant decays at a rate of 3% each century. The energy plant produced 150 pounds of waste. Write an exponential decay function that describes this scenario.
- \( 0.03 \cdot 150^x \)
- \( 0.97 \cdot 150^x \)
- \( 150 \cdot 0.03^x \)
- \( 150 \cdot 0.97^x \)
The exponential decay function is represented by \( f(x) = a \cdot b^x \) where a is the initial value and b is the decay factor.
The exponential decay function is represented by \( f(x) = a \cdot b^x \) where a is the initial value and b is the decay factor.
The exponential decay function is represented by \( f(x) = a \cdot b^x \) where a is the initial value and b is the decay factor.
The exponential decay function is represented by \( f(x) = a \cdot b^x \) where a is the initial value and b is the decay factor.
The waste from an atomic energy plant decays at a rate of 3% each century. The energy plant produced 150 pounds of waste. How much of the original nuclear waste will still remain after 10 centuries? Round to the nearest hundredth, as needed.
- 201.59 pounds
- 110.61 pounds
- 67.89 pounds
- 54.62 pounds
Use the exponential decay function and substitute x = 10.
Use the exponential decay function and substitute x = 10.
Use the exponential decay function and substitute x = 10.
Use the exponential decay function and substitute x = 10.
The waste from an atomic energy plant decays at a rate of 3% each century. The energy plant produced 150 pounds of waste. Which graph represents the exponential decay function that describes this scenario?
Create a table of values and plot the points. Draw a smooth curve through the points.
Create a table of values and plot the points. Draw a smooth curve through the points.
Create a table of values and plot the points. Draw a smooth curve through the points.
Create a table of values and plot the points. Draw a smooth curve through the points.
The waste from an atomic energy plant decays at a rate of 3% each century. The energy plant produced 150 pounds of waste. What are the domain and the range of this situation?
- Domain: \( x \ge 150 \)
Range: \( y \gt 0 \) - Domain: \( x \ge 0 \)
Range: \( y \ge 150 \) - Domain: \( x \ge 0 \)
Range: \( 0 \lt y \le 150 \) - Domain: \( x \ge 0 \)
Range: \( y \le 0 \)
Start with the mathematical domain and range of exponential decay functions. Then adjust the domain and range to fit the scenario.
Start with the mathematical domain and range of exponential decay functions. Then adjust the domain and range to fit the scenario.
Start with the mathematical domain and range of exponential decay functions. Then adjust the domain and range to fit the scenario.
Start with the mathematical domain and range of exponential decay functions. Then adjust the domain and range to fit the scenario.
Summary
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