lightning travels much faster than thunder, so lightning is seen before thunder is heard. using inductive reasoning and the graph to the right, if you count 15 s between the lightning and thunder, how far away is the storm?

the storm is mi away.
(type a whole number.)

Question

lightning travels much faster than thunder, so lightning is seen before thunder is heard. using inductive reasoning and the graph to the right, if you count 15 s between the lightning and thunder, how far away is the storm?

the storm is mi away.
(type a whole number.)

the storm is   mi away.
(type a whole number.)

Accepted Answer

{ "quality": "clear", "question_count": 1, "skills_matched": [ "step_cot", "blank_filling_formatter", "explain_then_answer", "quick" ], "needs_drawing": false, "concepts_used": [ "Pattern Recognition" ], "new_concepts": [ "Inductive Reasoning", "Linear Interpolation" ], "current_concepts": [ "Pattern Recognition", "Inductive Reasoning", "Linear Interpolation" ] } ## Identify coordinates from the graph $$ \begin{aligned} &(10, 2) \ &(20, 4) \ &(25, 5) \ &(35, 7) \end{aligned} $$ ## Determine the relationship between time and distance $$ \begin{aligned} &\text{Ratio } \frac{d}{t} = \frac{2}{10} = \frac{4}{20} = \frac{5}{25} = \frac{7}{35} = 0.2\text{ mi/s} \ &d = 0.2t \end{aligned} $$ ## Calculate the distance for 15 seconds $$ \begin{aligned} &t = 15 \ &d = 0.2 \times 15 = 3 \end{aligned} $$ Lightning travels much faster than thunder, so lightning is seen before thunder is heard. Using inductive reasoning and the graph to the right, if you count 15 s between the lightning and thunder, how far away is the storm? The storm is 3 mi away. (Type a whole number.) { "subject": "Mathematics", "question_type": "Fill-in-the-blank", "knowledge_point": [ "Mathematics", "Algebra", "Linear Interpolation" ] }

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QUESTION IMAGE

Question

Explanation:

Identify coordinates from the graph

Determine the relationship between time and distance

Calculate the distance for 15 seconds

Answer: