Kala wants to save $500 to buy a TV. She saves $19 each week. The amount, 4 (in dollars), that she still needs after w weeks is given by the following function. A (w) = 500-19w Answer the following questions. (a) If Kala still needs $177, how many weeks has she been saving? weeks (b) How much money does Kala still need after 5 weeks?
Kala wants to save $500 to buy a TV. She saves $19 each week. The amount, 4 (in dollars), that she still needs after w weeks is given by the following function. A (w) = 500-19w Answer the following questions. (a) If Kala still needs $177, how many weeks has she been saving? weeks (b) How much money does Kala still need after 5 weeks?
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
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![### Problem Statement:
Kala wants to save $500 to buy a TV. She saves $19 each week. The amount, \( A \) (in dollars), that she still needs after \( w \) weeks is given by the following function:
\[ A(w) = 500 - 19w \]
### Questions:
(a) If Kala still needs $177, how many weeks has she been saving?
\[ \text{weeks} \]
(b) How much money does Kala still need after 5 weeks?
\[ \$ \]
### Explanation:
This problem can be solved using a simple linear equation. The function \( A(w) = 500 - 19w \) represents the amount of money Kala still needs after \( w \) weeks. By substituting different values into this function, we can determine the number of weeks she has been saving or how much money she still needs.
#### Graphs and Diagrams:
There are no graphs or diagrams provided in this problem statement. The calculation process primarily involves linear algebra.
**Note to Students:** Carefully read through each part of the question and use the given function to find the required values. Make sure to solve for \( w \) in part (a) and \( A(w) \) in part (b).](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fd2329ae5-bd80-4bde-acb1-3d6784c24ee9%2Fda97f7c3-5aad-4f8b-8eea-353eb1bd8f8a%2Fuln49d_processed.jpeg&w=3840&q=75)
Transcribed Image Text:### Problem Statement:
Kala wants to save $500 to buy a TV. She saves $19 each week. The amount, \( A \) (in dollars), that she still needs after \( w \) weeks is given by the following function:
\[ A(w) = 500 - 19w \]
### Questions:
(a) If Kala still needs $177, how many weeks has she been saving?
\[ \text{weeks} \]
(b) How much money does Kala still need after 5 weeks?
\[ \$ \]
### Explanation:
This problem can be solved using a simple linear equation. The function \( A(w) = 500 - 19w \) represents the amount of money Kala still needs after \( w \) weeks. By substituting different values into this function, we can determine the number of weeks she has been saving or how much money she still needs.
#### Graphs and Diagrams:
There are no graphs or diagrams provided in this problem statement. The calculation process primarily involves linear algebra.
**Note to Students:** Carefully read through each part of the question and use the given function to find the required values. Make sure to solve for \( w \) in part (a) and \( A(w) \) in part (b).
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