Question Help Writing Suppose the relationship between x and y is proportional. When x is 29, y is 275.5. Find the constant of p

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Question Help
Writing Suppose the relationship between x and y is proportional. When x is 29, y is 275.5. Find the
constant of proportionality of y to x. Use the constant of proportionality to find x when y is 408.5. Use
pencil and paper. Explain how you can tell a relationship that is proportional from a relationship that is
not proportional.
The constant of proportionality is I.
(Type a whole number or a decimal.)

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Thu Hương 3 years 2021-07-28T14:06:29+00:00 1 Answers 60 views 0

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    2021-07-28T14:07:52+00:00
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    Answer:

    a) I=9,5

    b) x=43

    c) I is same for every  value of y and x if the relationship is proportional.

    Step-by-step explanation:

    The constant of proportionality I can be found as: \mathbf{I=\frac{y}{x}}

    a)

    We are given: x= 29, y=275.5 we need to find constant of proportionality I

    Using formula:

    \mathbf{I=\frac{y}{x}}\\I=\frac{275.5}{29}\\I=9.5

    So, constant of proportionality I = 9.5

    b)

    Now, we need to find x when y is 408.5.

    Using the above formula we can find x

    I=\frac{y}{x}\\9.5=\frac{408.5}{x}\\x=\frac{408.5}{9.5}\\x=43

    c)

    A relationship is proportional if for every value of x and y we have a relation: \mathbf{I=\frac{y}{x} } where I is constant. The value of I is same for every value of y and x.

    If a relationship is not proportional then for every value of x and y we have don’t have a relation: \mathbf{I=\frac{y}{x} } where I is constant. The value of I is different for every value of y and x.

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