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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.)

Answer 1

a) I=9,5

b) x=43

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

Explanation:

The constant of proportionality I can be found as:
`\mathbf{I=(y)/(x)}`

a)

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

Using formula:

`\mathbf{I=(y)/(x)}\\I=(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=(y)/(x)\\9.5=(408.5)/(x)\\x=(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=(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=(y)/(x) }` where I is constant. The value of I is different for every value of y and x.