To determine if the relationship between the number of pictures and the number of album pages is proportional, we need to check if the ratio of pictures to album pages is constant.
Given:
- Pictures: 40, 60, 80, 100
- Album pages: 10, 15, 20, 25
Now, let's calculate the ratios (k):
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For 40 pictures and 10 album pages: \[ k = \frac{40}{10} = 4 \]
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For 60 pictures and 15 album pages: \[ k = \frac{60}{15} = 4 \]
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For 80 pictures and 20 album pages: \[ k = \frac{80}{20} = 4 \]
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For 100 pictures and 25 album pages: \[ k = \frac{100}{25} = 4 \]
Since the ratio \( k \) is constant and equals 4 for all pairs, the relationship is proportional.
Therefore, the answer is: Proportional; k = 4.
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