tamera222 tamera222
  • 01-04-2019
  • Mathematics
contestada

Find the value of y for a given value of x, if y varies directly with x

Find the value of y for a given value of x if y varies directly with x class=

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airconditionedvole
airconditionedvole airconditionedvole
  • 01-04-2019

Answer:

[tex]y=-222[/tex]

Step-by-step explanation:

When "y varies directly with x" this means that:

[tex]y=k\times x[/tex]

where k is a number we need to find out (called the constant of proportionality if you care about that).

We can figure out what k is because they tell us when y= -252, x=84. Substituting those values into our equation we get:

[tex]-252 = k \times 84[/tex]

and therefore:

[tex]k=-3[/tex].

So our equation or formula between y and x is:

[tex]y= -3x[/tex].

So when x = 74, then:

[tex]y=-3 \times 74 = -222[/tex]

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