For Question 14:
To determine if the relationship is proportional, we can check if the ratio of pages to pictures remains constant. We can calculate the ratios for each pair:
- For 40 pictures and 10 pages: \( \frac{10}{40} = \frac{1}{4} \)
- For 60 pictures and 15 pages: \( \frac{15}{60} = \frac{1}{4} \)
- For 80 pictures and 20 pages: \( \frac{20}{80} = \frac{1}{4} \)
- For 100 pictures and 25 pages: \( \frac{25}{100} = \frac{1}{4} \)
Since the ratios are consistent, this relationship is proportional, and the k value is \( \frac{1}{4} \).
Answer for Question 14: Proportional; k = 1/4
For Question 15:
The question states that gas costs $2.50 per gallon. This is a proportional relationship where the total cost (y) is equal to the price per gallon (2.50) times the number of gallons (x).
So, the equation representing this relationship is:
Answer for Question 15: y = 2.50x
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