The cost of soup, s , varies directly with the number of cans, c When c is 4 , the cost is 3 dollars Which graph represents the cost of the soup?
Answer
A
Image with description On a graph, the x-axis shows the number of cans c, from 0 to 10, and the y-axis shows the cost of soup s, from 0 to 10. A curve starts at (0 comma 0) and opens up to the left. The curve goes through (4 comma 3) and (5 comma 6).
B
Image with description On a graph, the x-axis shows the number of cans c, from 0 to 10, and the y-axis shows the cost of soup s, from 0 to 10. A straight line has a positive slope and goes through (0 comma 0), (3 comma 4), and (6 comma 8).
C
Image with description On a graph, the x-axis shows the number of cans c, from 0 to 10, and the y-axis shows the cost of soup s, from 0 to 10. A curve opens up to the right and approaches the x-axis and the y-axis. The vertex is around (1 comma 1).
D
Image with description On a graph, the x-axis shows the number of cans c, from 0 to 10, and the y-axis shows the cost of soup s, from 0 to 10. A straight line has a positive slope and goes through (0 comma 0), (4 comma 3), and (8 comma 6).
Explanation
Direct variation has the form s = kc, so its graph is a straight line through the origin. Since 4 cans cost $3, the constant of variation is k = 3/4, giving s = (3/4)c. The graph should pass through (4, 3), as well as (8, 6), which is choice D.
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