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Which rule represents linear decay and also has initial value 72? (Here \(t\) is time.)\(t\) समय है। कौन-सा नियम रैखिक ह्रास (linear decay) दिखाता है और जिसका प्रारम्भिक मान 72 है?
Answer and explanationउत्तर और व्याख्या
Correct answer:सही उत्तर: \(y=72-6t\)\(y=72-6t\)
Check initial value using \(t=0\).
For \(y=72-6t\):
\[y(0)=72-6\cdot 0=72\]
Since the slope (coefficient of \(t\)) is \(-6\), it is negative, so the function decreases as \(t\) increases, i.e., it represents linear decay.\(t=0\) रखकर प्रारम्भिक मान जाँचिए।
\(y=72-6t\) के लिए:
\[y(0)=72-6\cdot 0=72\]
और \(t\) का गुणांक \(-6\) है जो ऋणात्मक है, इसलिए \(t\) बढ़ने पर मान घटता है; यह linear decay को दर्शाता है।
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