a. In the following table, compute a y-value by multiplying each previous y-value by 5. What type of growth is this? Write a function to model the data. y 1 1 3 b. In the following table, compute a y-value for a given x-value by multiplying the x-value by 5. What type of growth is this? Write a function to model the data. y 1 4

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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**Skills Practice**

First, complete the MyLab Math homework online. Then work on the following exercises to check your understanding.

1. **Exercise 1: Understanding Growth Types**

   a. In the following table, compute a \( y \)-value by multiplying each previous \( y \)-value by 5. Identify the growth type and write a function to model the data.

   | \( x \) | \( y \) |
   |--------|--------|
   |   0    |    1   |
   |   1    |        |
   |   2    |        |
   |   3    |        |
   |   4    |        |
   |   5    |        |

   b. In the following table, compute a \( y \)-value for a given \( x \)-value by multiplying the \( x \)-value by 5. Identify the growth type and write a function to model the data.

   | \( x \) | \( y \) |
   |--------|--------|
   |   0    |        |
   |   1    |        |
   |   2    |        |
   |   3    |        |
   |   4    |        |
   |   5    |        |

**Exercise Explanation:**

- **Exercise 1 (a):** This exercise involves exponential growth, where each \( y \)-value is multiplied by a constant factor. The function will take the form of \( y = a \cdot b^x \).

- **Exercise 1 (b):** This exercise focuses on linear growth, where the \( y \)-value is directly proportional to the \( x \)-value. The function will be a linear equation of the form \( y = mx + c \).
Transcribed Image Text:**Skills Practice** First, complete the MyLab Math homework online. Then work on the following exercises to check your understanding. 1. **Exercise 1: Understanding Growth Types** a. In the following table, compute a \( y \)-value by multiplying each previous \( y \)-value by 5. Identify the growth type and write a function to model the data. | \( x \) | \( y \) | |--------|--------| | 0 | 1 | | 1 | | | 2 | | | 3 | | | 4 | | | 5 | | b. In the following table, compute a \( y \)-value for a given \( x \)-value by multiplying the \( x \)-value by 5. Identify the growth type and write a function to model the data. | \( x \) | \( y \) | |--------|--------| | 0 | | | 1 | | | 2 | | | 3 | | | 4 | | | 5 | | **Exercise Explanation:** - **Exercise 1 (a):** This exercise involves exponential growth, where each \( y \)-value is multiplied by a constant factor. The function will take the form of \( y = a \cdot b^x \). - **Exercise 1 (b):** This exercise focuses on linear growth, where the \( y \)-value is directly proportional to the \( x \)-value. The function will be a linear equation of the form \( y = mx + c \).
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