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the variable y is directly proportional to x. if y equals -0.6 when x equals 0.24, find x when y equals -31.5.

User Samdeesh
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1 Answer

16 votes
16 votes

You have that y is proportional to x. Futhermore, you have y = -0.6 when x = 0.24.

Due to y is proportional to x, you have the following equation:


y=kx

where k is the constant of proportionality. In order to find the value of x when y = -31.5, you first calculate k.

k is calculated by using the information about y=-0.6 and x=0.24. You proceed as follow:

y = kx solve for k

k = y/x replace by known x and y values

k = -0.6/0.24

k = -2.5

Hence, the constant of proportionality is -2.5.

Next, you use the same formula for the relation between y and x to find the value of x when y = -31.5. You proceed as follow:

y = kx solve for x

x = y/

User Daniel Stoyanoff
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