Pregunta
4()) Input ( \( x \) ): a number Output \( (y): 7 \) more than 9 times \( x \) Write an equation to represent the linear function.
Ask by Colon Harris. in the United States
Mar 11,2025
Solución de inteligencia artificial de Upstudy
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The equation is \( y = 9x + 7 \).
Solución
**Step 1:** Identify what the problem is asking.
We need to write an equation representing the linear function where the output \( y \) is "7 more than 9 times \( x \)".
**Step 2:** Translate the verbal description into an algebraic expression.
- "9 times \( x \)" is expressed as \( 9x \).
- "7 more than 9 times \( x \)" means we add 7 to \( 9x \), giving \( 9x + 7 \).
**Step 3:** Write the final equation of the linear function.
\[
y = 9x + 7
\]
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Simplifique esta solución The Deep Dive
The equation that represents the linear function is \( y = 9x + 7 \). This formula states that to find \( y \), you multiply the input \( x \) by 9 and then add 7. It’s like a mathematical recipe where \( x \) is the main ingredient that transforms into \( y \) after a bit of mixing! This kind of linear function is commonly found in real-world scenarios, like calculating total costs. For instance, if \( x \) represents the number of items you buy and each item costs $9 with a fixed fee of $7, you can easily find out the total cost using this equation. So, next time you shop, remember you can represent your spending in a fun way!
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