Greg and Tina read books. Greg has read 10 books and reads 5 more each week. Tina has read 5 books and reads 5 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 Tina has read, y, after x weeks.
Nice!
Complete the table below with the number of books, y, that Tina has read after 2, 4, and 8 weeks. You can solve on paper and then enter your answer on Zearn.
y=5+5x

Weeks (x) Books (y)
2
4
8

Answer 1

To determine how many books Tina has read after \( x \) weeks, we can use the equation you provided:

\[ y = 5 + 5x \]

Where:

• \( y \) is the total number of books Tina has read,
• \( 5 \) is the number of books she has already read,
• \( 5x \) is the number of books she reads in \( x \) weeks (5 books per week).

Now, let's complete the table for the specified weeks (2, 4, and 8):

1. For \( x = 2 \): \[ y = 5 + 5(2) = 5 + 10 = 15 \]

2. For \( x = 4 \): \[ y = 5 + 5(4) = 5 + 20 = 25 \]

3. For \( x = 8 \): \[ y = 5 + 5(8) = 5 + 40 = 45 \]

So, the completed table is as follows:

| Weeks (x) | Books (y) | |-----------|-----------| | 2 | 15 | | 4 | 25 | | 8 | 45 |

If you need anything else, feel free to ask!