There are 60 seconds in one minute.Let x represent the number of minutes and y represent the corresponding number of seconds.Find the value of y when x=2.
Real Tutor Solution
Quick Answer
120
Step-by-step Solution
Given that there are 60 seconds in one minute, the relationship between minutes (x) and seconds (y) is \(y = 60x\).
When \(x = 2\):
\[y = 60 \times 2 = 120\]
So, \(y = 120\) seconds.
Supplemental Knowledge
Converting between units is a central concept in mathematics that serves to unify measurements into comparable ones, here we convert minutes to seconds based on linear proportionality, meaning each second equals directly proportionate to minutes spent measuring time.
To express this relationship mathematically:
- We know there are 60 seconds in one minute.
- Therefore, if \(x\) represents the number of minutes, then \(y\), the corresponding number of seconds, can be calculated using the equation \(y = 60x\).
This equation shows that for every minute (\(x\)), you multiply by 60 to get the total number of seconds (\(y\)).
Real-Life Connections
Assume you're timing a two-minute speech for school presentation. Knowing there are 60 seconds in one minute allows you to quickly calculate that two minutes equal 120 seconds; this helps manage practice sessions more effectively while making sure presentations stay within their allotted timelines.
Understanding basic arithmetic and algebraic relationships like unit conversions can significantly enhance your problem-solving skills in everyday life. To further sharpen these skills or explore more advanced mathematical concepts, try UpStudy’s Algebra calculator.
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