jack measured 3 amps as the total current in a certain circuit when he applied 60 volts to the circuit. when he applied 300 volts, he got a measurement of 15 amps. write a linear equation describing the relation between voltage (x) and current (y), and calculate the total current when 50 volts are applied to the circuit. round to the nearest hundredth.

answer:
$y =$

current at 50 volts =

Question

jack measured 3 amps as the total current in a certain circuit when he applied 60 volts to the circuit. when he applied 300 volts, he got a measurement of 15 amps. write a linear equation describing the relation between voltage (x) and current (y), and calculate the total current when 50 volts are applied to the circuit. round to the nearest hundredth.

answer:
\$y =\$

current at 50 volts =

answer:
$y =$

current at 50 volts =

Accepted Answer

{ "quality": "clear", "question_count": 2, "skills_matched": [ "step_cot", "explain_then_answer", "quick" ], "needs_drawing": false, "concepts_used": [ "Slope-Intercept Form", "Point-Slope Form", "Linear Equations Solving" ], "new_concepts": [ "Ohm's Law Modeling" ], "current_concepts": [ "Slope-Intercept Form", "Point-Slope Form", "Linear Equations Solving", "Ohm's Law Modeling" ] } ## Find the slope of the linear equation $$ \begin{aligned} &(x_1, y_1) = (60, 3)\ &(x_2, y_2) = (300, 15)\ &m = \frac{15 - 3}{300 - 60} = \frac{12}{240} = \frac{1}{20} \end{aligned} $$ ## Determine the linear equation $$ \begin{aligned} &y - 3 = \frac{1}{20}(x - 60)\ &y - 3 = \frac{1}{20}x - 3\ &y = \frac{1}{20}x \end{aligned} $$ ## Calculate the current at 50 volts $$ \begin{aligned} &x = 50\ &y = \frac{1}{20}(50) = 2.5 \end{aligned} $$ ## Question 1 $y =$ $\frac{1}{20}x$ ## Question 2 current at 50 volts = 2.5 amps { "subject": "Mathematics", "question_type": "Fill-in-the-blank", "knowledge_point": [ "Mathematics", "Algebra", "Slope-Intercept Form" ] }

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QUESTION IMAGE

Question

Explanation:

Find the slope of the linear equation

Determine the linear equation

Calculate the current at 50 volts

Answer:

Question 1

Question 2