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Camden and Jiro read magazines. Camden has read 10 magazines and reads 5 more each week. Jiro has read 5 magazines and reads 5 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 Jiro has read, y, after x weeks.
Good work!
Complete the table below with the number of magazines, y, that Jiro has read after 3, 5, and 7 weeks. You can solve on paper and then enter your answer on Zearn.
y=5+5x

Weeks (x) Magazines (y)
3
5
7
Nice!
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 magazines Jiro has read.
Weeks (x) Magazines (y)
3 20
5 30
7 40
You got it!
Now, consider Camden. Write an equation that represents the number of comic books Camden has read, y, after x weeks.
Excellent!
Complete the table below with the number of magazines, y, that Camden has read after various numbers of weeks, x. You can solve on paper and then enter your answer on Zearn.
y=10+5x

Weeks (x) Magazines (y)
2
4
8

1 answer

To start, let's break down the equations and tables for both Camden and Jiro.

Jiro's Equation

The equation for the number of magazines Jiro has read after \( x \) weeks is given by: \[ y = 5 + 5x \]

We can calculate the number of magazines Jiro has read after 3, 5, and 7 weeks:

  • When \( x = 3 \): \[ y = 5 + 5(3) = 5 + 15 = 20 \]

  • When \( x = 5 \): \[ y = 5 + 5(5) = 5 + 25 = 30 \]

  • When \( x = 7 \): \[ y = 5 + 5(7) = 5 + 35 = 40 \]

Jiro's Table: | Weeks (x) | Magazines (y) | |-----------|----------------| | 3 | 20 | | 5 | 30 | | 7 | 40 |

Camden's Equation

The equation for the number of magazines Camden has read after \( x \) weeks is given by: \[ y = 10 + 5x \]

Now, let's calculate the number of magazines Camden has read after 2, 4, and 8 weeks:

  • When \( x = 2 \): \[ y = 10 + 5(2) = 10 + 10 = 20 \]

  • When \( x = 4 \): \[ y = 10 + 5(4) = 10 + 20 = 30 \]

  • When \( x = 8 \): \[ y = 10 + 5(8) = 10 + 40 = 50 \]

Camden's Table: | Weeks (x) | Magazines (y) | |-----------|----------------| | 2 | 20 | | 4 | 30 | | 8 | 50 |

Summary

  • Jiro's reading is represented by the equation \( y = 5 + 5x \).
  • Camden's reading is represented by the equation \( y = 10 + 5x \).
  • The completed tables provide the total number of magazines each person has read after the specified weeks.

Feel free to reach out if you need further assistance!