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Which rule represents linear decay and also has initial value 60? (Here \(t\) is time.)\(t\) समय है। कौन-सा नियम रैखिक ह्रास (linear decay) दिखाता है और जिसका प्रारम्भिक मान 60 है?
Answer and explanationउत्तर और व्याख्या
Correct answer:सही उत्तर: \(y=60-5t\)\(y=60-5t\)
Initial value means value at \(t=0\). For \(y=60-5t\):
\[y(0)=60-5\cdot 0=60\]
Also the coefficient of \(t\) is \(-5\), which is negative, so the quantity decreases with time (linear decay).प्रारम्भिक मान का अर्थ है \(t=0\) पर मान। \(y=60-5t\) के लिए:
\[y(0)=60-5\cdot 0=60\]
और \(t\) का गुणांक \(-5\) है जो ऋणात्मक है, इसलिए समय के साथ मान घटता है (linear decay)।
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