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Vsevolod [243]
3 years ago
12

Y varies inversely with x, and k (the constant of variation) = 1.24. What is the value of y when x = 4.96?

Mathematics
1 answer:
V125BC [204]3 years ago
6 0

Answer:= y = 0.25 to the nearest hundredth.

Step-by-step explanation:

In inverse variation, both variables move in opposite directions. This means that as variable 1 increases, variable 2 reduces and as variable 1 reduces, variable 2 increases.

Y varies inversely with x.

So as y increases, x reduces and as y reduces, x increases.

We would proceed by introducing a constant of variation, k

y = k/x

From the information given,

The constant of variation, k = 1.24

The value if x = 4.96

To find the value of y

y = k/x = 1.24/4.96

= 0.25 to the nearest hundredth.

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Step-by-step explanation:

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3 years ago
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I would think that all but one point would be on the line.  One way to approach this problem is to find the equation of the line based upon any two points chosen at random, and then determine whether or not the other points satisfy this equation.  Next time, would you please enclose the coordinates of each point inside parentheses:  (2.5,14), (2.25,12), and so on, to avoid confusion.
                                                               14-12
slope of line thru 1st 2 points is   m = ----------------  =  2/0.25 = 8
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What is the eqn of the line:     y = mx + b becomes

                                               14 = (8)(2.5) + b; find b:

14-20 = b = -6.  Then,   y = 8x - 6.

Now determine whether (12,1.25) lies on this line.  

Is 1.25 = 8(12) - 6?  Is 1.25 = 90?  No.  So, unless I've made arithmetic mistakes, (1.25, 5) does not lie on the line thru (2.5,14) and (2.25,12).

Why not work this problem out yourself using my approach as a guide? 



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The line through (-2, 3) with slope 2/3 in point slope form​
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Answer:

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Step-by-step explanation:

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y - 3 = 2/3(x - -2)

y - 3 = 2/3(x + 2)

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Answer:

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To find the cost of 2 folders, multiply $0.97 and 2

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