(a) Is y proportional, or is it inversely proportional, to a positive power of x? yis proportional (b) Make a table of values showing corresponding values for ywhen x is 1, 10, 100, and 1000. Round your answers to two decimal places. x y = 2√x to a positive power of x. 2 y 1 y = 2√x. 10 increases as x gets larger. (c) Use your table to determine whether yincreases or decreases as x gets larger. i 100 1000 C
(a) Is y proportional, or is it inversely proportional, to a positive power of x? yis proportional (b) Make a table of values showing corresponding values for ywhen x is 1, 10, 100, and 1000. Round your answers to two decimal places. x y = 2√x to a positive power of x. 2 y 1 y = 2√x. 10 increases as x gets larger. (c) Use your table to determine whether yincreases or decreases as x gets larger. i 100 1000 C
Algebra and Trigonometry (6th Edition)
6th Edition
ISBN:9780134463216
Author:Robert F. Blitzer
Publisher:Robert F. Blitzer
ChapterP: Prerequisites: Fundamental Concepts Of Algebra
Section: Chapter Questions
Problem 1MCCP: In Exercises 1-25, simplify the given expression or perform the indicated operation (and simplify,...
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![**Exploration of Proportional Relationships**
**Equation:** \( y = 2 \sqrt{x} \)
**Question (a):** Is \( y \) proportional, or is it inversely proportional, to a positive power of \( x \)?
**Answer:**
\( y \) is \[proportional\] to a positive power of \( x \).
**Question (b):** Make a table of values showing corresponding values for \( y \) when \( x \) is 1, 10, 100, and 1000.
*Round your answers to two decimal places.*
| \( x \) | \( y = 2 \sqrt{x} \) |
|----------|-------------------------|
| 1 | 2 |
| 10 | |
| 100 | |
| 1000 | |
**Question (c):** Use your table to determine whether \( y \) increases or decreases as \( x \) gets larger.
**Answer:**
\( y \) \[increases\] as \( x \) gets larger.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F4f680d4f-94aa-4d7a-935b-bbf3923d5869%2F3a9b4bac-97db-472b-97f2-37051f01433a%2Fgf0k2f_processed.jpeg&w=3840&q=75)
Transcribed Image Text:**Exploration of Proportional Relationships**
**Equation:** \( y = 2 \sqrt{x} \)
**Question (a):** Is \( y \) proportional, or is it inversely proportional, to a positive power of \( x \)?
**Answer:**
\( y \) is \[proportional\] to a positive power of \( x \).
**Question (b):** Make a table of values showing corresponding values for \( y \) when \( x \) is 1, 10, 100, and 1000.
*Round your answers to two decimal places.*
| \( x \) | \( y = 2 \sqrt{x} \) |
|----------|-------------------------|
| 1 | 2 |
| 10 | |
| 100 | |
| 1000 | |
**Question (c):** Use your table to determine whether \( y \) increases or decreases as \( x \) gets larger.
**Answer:**
\( y \) \[increases\] as \( x \) gets larger.
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