Four puzzles that were manufactured contained a total of 420 pieces. The next 6 puzzles contained a total of 630 pieces. If the relationship between the number of puzzles and the total number of puzzle pieces continues to be proportional, which could be the missing entries in the table?Number of Puzzles(x)Number of Pieces(y)44206630
Answer
A
8 puzzles and 800 pieces
B
8 puzzles and 840 pieces
C
10 puzzles and 1,000 pieces
D
10 puzzles and 1,200 pieces
Explanation
The relationship is proportional, so each puzzle must have the same number of pieces. From 4 puzzles and 420 pieces, that rate is 420 ÷ 4 = 105 pieces per puzzle; 630 ÷ 6 also equals 105. For 8 puzzles, the total would be 8 × 105 = 840 pieces, so the missing entries could be 8 puzzles and 840 pieces.
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