question 21

a track coach uses a stopwatch to record how fast his star runner completes a 1500-meter race. at the first track meet, he records a time of 260 seconds. at the next track meet, he records a time of 255 seconds.

what is the relative change in his star runners 1500-meter race time?

-1.96%
-1.92%
1.96%
1.92%

Question

question 21

a track coach uses a stopwatch to record how fast his star runner completes a 1500-meter race. at the first track meet, he records a time of 260 seconds. at the next track meet, he records a time of 255 seconds.

what is the relative change in his star runners 1500-meter race time?

-1.96%
-1.92%
1.96%
1.92%

Accepted Answer

{ "quality": "clear", "question_count": 1, "skills_matched": [ "step_cot", "multiple_choice_formatter", "explain_then_answer", "tutor", "mastery_adaptive_brevity" ], "needs_drawing": false, "concepts_used": [ "Absolute Change", "Relative Change" ], "new_concepts": [], "current_concepts": [ "Absolute Change", "Relative Change" ] } ## Identify the initial and final values Using the *Absolute Change* knowledge point $$ \begin{aligned} \text{Initial Value } (V_{\text{initial}}) &= 260\text{ seconds} \ \text{Final Value } (V_{\text{final}}) &= 255\text{ seconds} \ \text{Absolute Change} &= V_{\text{final}} - V_{\text{initial}} = 255 - 260 = -5\text{ seconds} \end{aligned} $$ ## Calculate the relative change Using the *Relative Change* knowledge point $$ \begin{aligned} \text{Relative Change} &= \frac{\text{Absolute Change}}{V_{\text{initial}}} = \frac{-5}{260} \ \text{Relative Change} &\approx -0.0192307 \ \text{Percentage} &\approx -1.92\% \end{aligned} $$

-1.96%

-1.92%

1.96%

1.92%

{ "subject": "Mathematics", "question_type": "Multiple Choice", "knowledge_point": [ "Mathematics", "Algebra", "Relative Change" ] }

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QUESTION IMAGE

Question

Explanation:

Identify the initial and final values

Calculate the relative change

Answer: