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:
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When \( x = 3 \): \[ y = 5 + 5(3) = 5 + 15 = 20 \]
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When \( x = 5 \): \[ y = 5 + 5(5) = 5 + 25 = 30 \]
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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:
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When \( x = 2 \): \[ y = 10 + 5(2) = 10 + 10 = 20 \]
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When \( x = 4 \): \[ y = 10 + 5(4) = 10 + 20 = 30 \]
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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.
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