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Y varies inversely with x. If x=0.8 and y=0.25, find y when 0.125x=0.125.

a. 0.02
b. 0.04
c. 0.08
d. 0.16

User Chia Berry
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1 Answer

3 votes

Final answer:

Using the constant of proportionality calculated from initially given inversely proportional values x=0.8 and y=0.25, a new value of y is determined for x = 0.125, resulting in y=0.2.

Step-by-step explanation:

The relationship given indicates inversely proportional behavior between y and x. To find a new value of y when x changes, we use the initial conditions to determine the constant of proportionality. Given that x=0.8 and y=0.25, we calculate the constant as k = xy which equals 0.8 * 0.25 = 0.2. Now, when we have the new condition 0.125x = 0.125, we need to first find the new value of x which is 0.125 / 0.125 = 1. Then we use the constant to find the new value of y by y = k / x, hence y = 0.2 / 1 = 0.2. Therefore the correct answer is 0.2, option not listed.

User Sheidaei
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