Theresa and Tim read books. Theresa has read 2 books and reads 6 more each week. Tim has read 4 books and reads 6 more each week. After how many weeks will they have read the same number of books?

Question

Write an equation that represents the number of books Tim has read, y, after x weeks.
Great job!
Complete the table below with the number of books, y, that Tim has read after 2, 6, and 10 weeks. You can solve on paper and then enter your answer on Zearn.
y=4+6x

Weeks (x) Books (y)
2
6
10
Great job!
Next, graph the points you just found on the coordinate plane to show the relationship between x, the number of weeks, and y, the number of books Tim has read.
Weeks (x) Books (y)
2 16
6 40
10 64
Good work!
Now, consider Theresa. Write an equation that represents the number of comic books Theresa has read, y, after x weeks.
You got it!
Complete the table below with the number of books, y, that Theresa has read after various numbers of weeks, x. You can solve on paper and then enter your answer on Zearn.
y=2+6x

Weeks (x) Books (y)
1
5
9

Answer 1

To find out how many books Theresa has read after a certain number of weeks using the equation \( y = 2 + 6x \):

• When \( x = 1 \): \[ y = 2 + 6(1) = 2 + 6 = 8 \]

• When \( x = 5 \): \[ y = 2 + 6(5) = 2 + 30 = 32 \]

• When \( x = 9 \): \[ y = 2 + 6(9) = 2 + 54 = 56 \]

Now, we can fill in the table for Theresa:

| Weeks (x) | Books (y) | |-----------|-----------| | 1 | 8 | | 5 | 32 | | 9 | 56 |

To summarize:

• After 1 week, Theresa has read 8 books.
• After 5 weeks, Theresa has read 32 books.
• After 9 weeks, Theresa has read 56 books.

If you have any further questions or need assistance, feel free to ask!