Based on the data in the table, which function models the frequency, y, in waves per second, of sound waves with a wavelength of x meters?
[tex]Here is the table[/tex]

A. y= 340x

B. y= x/340

C. y= 340x

D. y= 340/x

Based on the data in the table which function models the frequency y in waves per second of sound waves with a wavelength of x meterstexHere is the tabletexA y class=

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Answer:

D. y = 340/x

Step-by-step explanation:

To start off take the first y and subtract it by the second y.

680 - 340 = 340

Then do the same with the second y and the third y.

340 - 227 = 133

Here you see that it is decreasing so you can automatically cancel out A and C as and answer.

Now you have the choice for B or D

The answer would be D because the answer still comes out as a whole number, as for B would make the answer a decimal.

Function models the frequency is  y= 340/x.

What is Equation?

Equations are mathematical statements containing two algebraic expressions on both sides of an 'equal to (=)' sign. It shows the relationship of equality between the expression written on the left side with the expression written on the right side. In every equation in math, we have, L.H.S = R.H.S (left hand side = right hand side).

Parts of an Equation

There are different parts of an equation which include coefficients, variables, operators, constants, terms, expressions, and an equal to sign. When we write an equation, it is mandatory to have an "=" sign, and terms on both sides. Both sides should be equal to each other. An equation doesn't need to have multiple terms on either of the sides, having variables, and operators.

First we find the difference between two consecutive of y.

680 - 340 = 340

Again,

340 - 227 = 133

As, the value is decreasing which is well shown by B or D.

Hence, function models the frequency is  y= 340/x.

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