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?

Question

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 |