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  • one year ago

z varies inversely with the prodcut of x and y when x=2 and y=4 and z=0.5 what is the value of z when x=4 and y=9 a 45/2 b 40/9 c 1/9 d 40 I need help this is my last problem!!

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  1. anonymous
    • one year ago
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    Z varies INVERSELY with the product of x and y. This means, if x*y is more, then z will be less. At hand, we have x = 2 and y = 4 So, x*y = 2*4 = 8 And, z = 0.5 Now, when x = 4 and y = 9 x*y = 4*9 = 36 Now since the product is greater in the second case (36>8), the value of z should be lower than 0.5 Let's look at the options. a. 45/2 = 22.5 --> Not possible, it is greater than 0.5 b. 40/9 = 4.44 --> Again, greater than 0.5 c. 40 --> Much bigger than 0.5 d. 1/9 = 0.11 --> Could be possible, since it is lesser than 0.5 Now since the product is bigger in the second case, the value of z MUST be smaller than 0.5 So, I think the correct answer is D. 1/9 @Emilys819

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