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Q: What is x count as y in context c?
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x times y or, symbolically, either x*y or simply xy (where context allows, also X x Y)


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Suppose y = c*x where c is the constant of proportionality. x = 3 and y = 30 so 30 = c*3 which implies that c = 10. So the equation is y = 10*x


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Given y varies directly as x and y equals 125 when x equals 25what is the value of y when x equals 2?

y varies directly as x so y = cx for some constant c. y = 125 when x = 25 so 125 = c*25 so that c = 5 ie the relationship is y = 5x Then when x = 2, y = c*x = 5*2 = 10


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If y = f(x), then y = f(x + c) is the same graph shifted c units to the left (or right if c is negative) along the x-axis For y = x, by changing x to x + c, the above shift is indistinguishable from shifting the graph c units up (or down if c is negative) the y-axis.


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