Question

a student in a foreign language program learns 15 new words each week which graph best represents the relationship between X the number of weeks the student has been in the program and y the total number of new words the student has learned make your own table where X is the number of weeks and y is the number of words

Answer 1

To find the relationship between the number of weeks (X) and the total number of new words learned (Y), let's create a table based on the information given where the student learns 15 new words each week.

### Table of Values

| Weeks (X) | Total Words (Y) |
|-----------|------------------|
| 0 | 0 |
| 1 | 15 |
| 2 | 30 |
| 3 | 45 |
| 4 | 60 |
| 5 | 75 |
| 6 | 90 |
| 7 | 105 |
| 8 | 120 |
| 9 | 135 |
| 10 | 150 |

### Explanation
As we can see from the table:

- **When X = 0 weeks**, the student has learned **Y = 0 words**.
- **When X = 1 week**, the total words learned is **15 words** (15 words/week * 1 week).
- **When X = 2 weeks**, the total is **30 words** (15 words/week * 2 weeks).
- And so on...

This relationship is linear, as the total number of words learned increases by a fixed amount (15 words) for each additional week.

### Graph Representation
To graph this relationship, plot the points from the table on a coordinate plane, where the X-axis represents the number of weeks and the Y-axis represents the total number of new words learned.

The graph will be a straight line starting from the origin (0,0) with a slope of 15, indicating that for every week that passes, the total number of new words learned increases by 15.

### Summary
The correct graph would show a straight line starting at (0,0) and increasing linearly, indicating a constant rate of 15 new words per week.