The points 3 comma 24 and 7 comma 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
An 80 -page photo album holds 560 photographs.
B
A 900 -page photo album holds 8 comma 400 photographs.
C
A 100 -page photo album holds 8 comma 000 photographs.
D
A 50 -page photo album holds 400 photographs.
Explanation
For direct variation, the ratio y/x stays constant. The given points both have y/x = 24/3 = 56/7 = 8, so the album holds 8 photographs per page. For 50 pages, that is 50 × 8 = 400 photographs, matching “A 50-page photo album holds 400 photographs.”
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