Question
(1) Input \( (x) \) : a number Output \( (y) \) : 8 less than 3 times \( x \) Which equation represents the rule? \( y=3 x-8 \) y=-3x+8 y=-8x-3 y=-8x+3
Ask by Bradley Barber. in the United States
Mar 11,2025
Upstudy AI Solution
Tutor-Verified Answer
Answer
The equation is \( y = 3x - 8 \).
Solution
1. We are given that the output \( y \) is "8 less than 3 times \( x \)".
2. "3 times \( x \)" is represented by \( 3x \).
3. "8 less than 3 times \( x \)" means we subtract 8 from \( 3x \). This is represented by:
\[
y = 3x - 8
\]
4. Among the options provided, the equation that represents the rule is:
\[
y = 3x - 8
\]
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Simplify this solution Extra Insights
To represent the rule given, you want an equation that shows \( y \) as 8 less than 3 times \( x \). This can be written mathematically as \( y = 3x - 8 \). So, the correct choice is \( y = 3x - 8 \). Now, isn’t it interesting how these equations can shape not just math problems but also real-life situations? For instance, suppose you’re planning a party and you know each plate costs 3 dollars. If you want to save 8 dollars to spend elsewhere, you could use this equation to quickly calculate how many plates you can afford based on your budget!
