Question

Jillian and Dylan read magazines. Jillian has read 2 magazines and reads 4 more each week. Dylan has read 6 magazines and reads 4 more each week. After how many weeks will they have read the same number of magazines?
Write an equation that represents the number of magazines Dylan has read, y, after x weeks.
Excellent!
Complete the table below with the number of magazines, y, that Dylan has read after 3, 6, and 9 weeks. You can solve on paper and then enter your answer on Zearn.
y=6+4x

Weeks (x) Magazines (y)
3
6
9

Answer 1

To write the equation representing the number of magazines Dylan has read after \( x \) weeks, we start with the initial number of magazines he has read (6) and add 4 magazines for each week that passes. Therefore, the equation can be expressed as:

\[ y = 6 + 4x \]

Now, we'll complete the table with the number of magazines Dylan has read after 3, 6, and 9 weeks by substituting the values of \( x \):

1. For \( x = 3 \):
\[
y = 6 + 4(3) = 6 + 12 = 18
\]

2. For \( x = 6 \):
\[
y = 6 + 4(6) = 6 + 24 = 30
\]

3. For \( x = 9 \):
\[
y = 6 + 4(9) = 6 + 36 = 42
\]

Now, we fill in the table:

| Weeks (x) | Magazines (y) |
|-----------|----------------|
| 3 | 18 |
| 6 | 30 |
| 9 | 42 |

So the completed table is:

| Weeks (x) | Magazines (y) |
|-----------|----------------|
| 3 | 18 |
| 6 | 30 |
| 9 | 42 |