The points (3, 24) and (7, 56) represent points of a function where y, the number of photographs, varies directly with x, the number of pages in an album. Which statement describes another point on the graph of this function?
Answer
A
A 50-page photo album holds 400 photographs.
B
An 80-page photo album holds 560 photographs.
C
A 100-page photo album holds 8,000 photographs.
D
A 900-page photo album holds 8,400 photographs.
Explanation
For direct variation, y = kx, where k is the constant ratio of photographs to pages. Using either given point, k = 24 ÷ 3 = 8, and 56 ÷ 7 also equals 8. A 50-page album would therefore hold 50 × 8 = 400 photographs, matching choice A.
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