If y varies directly as x and y = 8 when x = 4, what is the value of y when x = 16?
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Answer:
Step-by-step explanation:
A point (x, y) with integer coordinates is randomly selected such that
The possible pairs of (x,y) are:
(0,0),(0,1),(0,2),(0,3),(0,4)
(1,0),(1,1),(1,2),(1,3),(1,4)
(2,0),(2,1),(2,2),(2,3),(2,4)
(3,0),(3,1),(3,2),(3,3),(3,4)
(4,0),(4,1),(4,2),(4,3),(4,4)
(5,0),(5,1),(5,2),(5,3),(5,4)
(6,0),(6,1),(6,2),(6,3),(6,4)
(7,0),(7,1),(7,2),(7,3),(7,4)
(8,0),(8,1),(8,2),(8,3),(8,4)
The Total Possible Outcomes n(S)= 45
The pair (x, y) that satisfies the given condition (say event A: ) are:
n(A)=15
Therefore: