https://file.aiquickdraw.com/mathbot/file/1727011329702k5s9f8lk.jpg

Let's break down the math problem step by step from the image you've uploaded.

### Part 2a: 
The problem asks to **write an equation that represents M, the money remaining after $ x $ days**.

#### Information provided:
- Jennifer buys Cheetos every day for $1.25.
- After 7 days, she has $16.25 left.
- The total money she started with can be calculated by adding what she spent in 7 days to what she has left.

\[ 16.25 + (7 \times 1.25) = 16.25 + 8.75 = 24 \text{ dollars}. \]

So, Jennifer started with $24.

The equation for the money remaining, $ M $, after $ x $ days is:

\[
M = 24 - 1.25x
\]

This equation follows the slope-intercept form $ M = 24 - 1.25x $, where:
- 24 is the y-intercept (the initial amount of money),
- $-1.25$ is the slope, representing the rate at which she's spending money per day.

#### Slope interpretation:
Since she's spending money, the slope is **negative**.

### Part 2b: 
The question asks, **on which day will she have $15 remaining**?

We can set the equation equal to 15 and solve for $ x $:

\[
24 - 1.25x = 15
\]

First, subtract 15 from both sides:

\[
24 - 1.25x = 15 \implies 24 - 15 = 1.25x
\]

\[
9 = 1.25x
\]

Now, solve for $ x $:

\[
x = \frac{9}{1.25} = 7.2
\]

So, **after approximately 7.2 days**, she will have $15 remaining. This implies she will have $15 at some point during the **8th day**.

---

Do you have any questions or need further clarification?

### Relative Questions:
1. How would the equation change if Jennifer bought Cheetos for $2.00 instead of $1.25?
2. What would the slope be if she saved money each day instead of spending it?
3. How many days would it take for Jennifer to run out of money?
4. What is the meaning of the y-intercept in this context?
5. How can we interpret the result for $ x = 7.2 $ in practical terms?

### Tip:
Always check the sign of the slope to understand whether something is increasing or decreasing in real-life problems.

Jennifer buys Cheetos for $1.25 from the vending machine every day before 3rd hour math class. After 7 days she has $16.25 left. If Jennifer is buying a bag of Cheetos each day, is the slope positive or negative?
a. Write an equation that represents M money remaining after x time in days.
b. On which day would she have $15 remaining?

Learn how to solve a real-world linear equation problem involving Jennifer buying Cheetos daily and determining the remaining money. This problem covers linear equations, slope interpretation, and calculating days with specific amounts left. Suitable for Grades 6-8.

Math Problem Statement

Solution

Ask a new question for Free

By Image

Math Problem Analysis

Mathematical Concepts

Formulas

Theorems

Suitable Grade Level

Related Recommendation