Suppose y varies directly with x, and y = 19/3 when x = 4/5. Write a direct variation equation that relates x and y? Use the equation to find the value of y when x = - 7/6. Use fractions when showing work.

Question

Alice Lambert

Mathematics

30 April, 12:56

Suppose y varies directly with x, and y = 19/3 when x = 4/5. Write a direct variation equation that relates x and y? Use the equation to find the value of y when x = - 7/6. Use fractions when showing work.

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Zavier Huffman · Answer 1

Y varies directly with x ⇒ y/x=19/3: 4/5=19/3*5/4=19*5/3*4=95/12 = k

⇒ k=95/12 and y=x*95/12

when x = - 7/6 ⇒ y = - 7/6 * 95/12 = - 665/72

⇒ y = - 665/72