Question

1. the power (p) required to run a motor is equal to the voltage (e) applied to that motor times the current (i) supplied to the motor. if the motor data says the motor uses 180 watts of power and the voltage applied to the motor is 120 volts, how much current will the motor require?

1. joan is paid \\(1\frac{1}{2}\\) hours for every hour she works on saturday and 2 hours for every hour worked on sunday; she is paid regular time for the rest of the week. how many hours will she be paid for if she works 40 hours during the week, 8 hours on saturday, and 6 hours on sunday?

Explanation:

Translate the power formula

Using the Translating Word Problems and Algebraic Modeling knowledge points

$$ P = E \cdot I $$

Solve for the required current

Using the Linear Equations Solving knowledge point

$$
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$$

Model the total paid hours

Using the Translating Word Problems and Algebraic Modeling knowledge points

$$ H_{\text{paid}} = H_{\text{week}} \cdot 1 + H_{\text{Sat}} \cdot 1.5 + H_{\text{Sun}} \cdot 2 $$

Calculate the total paid hours

Using the Basic Arithmetic Operations knowledge point

$$
LATEXBLOCK1
$$

Answer:

Question 23

\(1.5\text{ amperes}\) (or \(1\frac{1}{2}\text{ amps}\))

Question 24

\(64\text{ hours}\)