Fatima is saving up to buy a $300 bike. She saves $25 each week from her babysitting money. Which linear equation represents the amount Fatima still has to save after x weeks? **Problem Statement:**Fatima is saving up to buy a $300 bike. She saves $25 each week from her babysitting money. Which linear equation represents the amount Fatima still has to save after $ x $ weeks?**Options:**- A. $ y = 25x + 300 $- B. $ y = 25x - 300 $- C. $ y = -25x - 300 $- D. $ y = -25x + 300 $**Explanation:**To solve this problem, we need to determine how much money Fatima still needs to save after $ x $ weeks. The initial amount she needs is $300. Each week, she saves $25, reducing the amount she needs to save. The correct linear equation should decrease by $25 per week. Therefore, it should be a subtraction from the initial amount of $300.The equation should take the form:\[ y = 300 - 25x \]This is equivalent to option D:\[ y = -25x + 300 \]

Fatima is saving up to buy a $300 bike. She saves $25 each week from her babysitting money. Which linear equation represents the amount Fatima still has to save after x weeks? O A. y= 25x + 300 о в. у3 25х - 300 о с. у3-25х - 300 O D. y = -25x + 300

Fatima is saving up to buy a $300 bike. She saves $25 each week from her babysitting money. Which linear equation represents the amount Fatima still has to save after x weeks? O A. y= 25x + 300 о в. у3 25х - 300 о с. у3-25х - 300 O D. y = -25x + 300

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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Concept explainers

Equations and Inequations

Equations and inequalities describe the relationship between two mathematical expressions.

Linear Functions

A linear function can just be a constant, or it can be the constant multiplied with the variable like x or y. If the variables are of the form, x2, x1/2 or y2 it is not linear. The exponent over the variables should always be 1.

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Fatima is saving up to buy a $300 bike. She saves $25 each week from her babysitting money. Which linear equation represents the amount Fatima still has to save after x weeks?

**Problem Statement:**

Fatima is saving up to buy a $300 bike. She saves $25 each week from her babysitting money. Which linear equation represents the amount Fatima still has to save after $ x $ weeks?

**Options:**

- A. $ y = 25x + 300 $
- B. $ y = 25x - 300 $
- C. $ y = -25x - 300 $
- D. $ y = -25x + 300 $

**Explanation:**

To solve this problem, we need to determine how much money Fatima still needs to save after $ x $ weeks. The initial amount she needs is $300. Each week, she saves $25, reducing the amount she needs to save.

The correct linear equation should decrease by $25 per week. Therefore, it should be a subtraction from the initial amount of $300.

The equation should take the form:

\[ y = 300 - 25x \]

This is equivalent to option D:

\[ y = -25x + 300 \]

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