Let's take a look at the relationship between voltage, current, and resistance. Use k to represent the constant value of the resistance. Use any variable to represent current. 1. Define a polynomial that represents the voltage. Consider this as the original voltage. 2. You want to double the amount of current flowing in the circuit. a. Define a polynomial that represents this new voltage. b. Compare this to the original voltage. Compare them algebraically and give a conclusion. 3. You want the current to be ten times higher than the original. a. Define a polynomial that represents this new voltage. b. Compare this to the original voltage. Compare them algebraically and give a

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COMPARING VALUES AND EXPRESSIONS ALGEBRAICALLY
Let's take a look at the relationship between voltage, current, and resistance.
Use k to represent the constant value of the resistance.
Use any variable to represent current.
1. Define a polynomial that represents the voltage. Consider this as the original voltage.
2. You want to double the amount of current flowing in the circuit.
a. Define a polynomial that represents this new voltage.
b. Compare this to the original voltage. Compare them algebraically and give a
conclusion.
3. You want the current to be ten times higher than the original.
a. Define a polynomial that represents this new voltage.
b. Compare this to the original voltage. Compare them algebraically and give a
conclusion.
4. How many batteries must be placed in the circuit if you want to triple the current?
5. Show that your expressions and conclusions are correct by assigning values for the
current and resistance.
6. Assume that the resistance k was increased by 10 ohms, and the current was
increased by 6 amperes. Give a polynomial that represents the voltage.
7. Why is it important to know how to compare the values algebraically? Cite some
practical applications.
Transcribed Image Text:COMPARING VALUES AND EXPRESSIONS ALGEBRAICALLY Let's take a look at the relationship between voltage, current, and resistance. Use k to represent the constant value of the resistance. Use any variable to represent current. 1. Define a polynomial that represents the voltage. Consider this as the original voltage. 2. You want to double the amount of current flowing in the circuit. a. Define a polynomial that represents this new voltage. b. Compare this to the original voltage. Compare them algebraically and give a conclusion. 3. You want the current to be ten times higher than the original. a. Define a polynomial that represents this new voltage. b. Compare this to the original voltage. Compare them algebraically and give a conclusion. 4. How many batteries must be placed in the circuit if you want to triple the current? 5. Show that your expressions and conclusions are correct by assigning values for the current and resistance. 6. Assume that the resistance k was increased by 10 ohms, and the current was increased by 6 amperes. Give a polynomial that represents the voltage. 7. Why is it important to know how to compare the values algebraically? Cite some practical applications.
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