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Suppose y varies inversely with x and y = 5 when x = 7
Part A) Write an equation that models the variation. (1 point)
Part B) Find x when y = 140. (1 point)
(2 points)
Part A) Since y varies inversely with x, we can write the equation as y = k/x, where k is the constant of variation. Given that y = 5 when x = 7, we can substitute these values into the equation to find k:
5 = k/7
Multiplying both sides by 7:
35 = k
So, the equation that models the variation is y = 35/x.
Part B) To find x when y = 140, we can substitute y = 140 into the equation and solve for x:
140 = 35/x
Multiplying both sides by x:
140x = 35
Dividing both sides by 35:
x = 4
Therefore, when y = 140, x = 4.