Variable c is 9 more than variable w. Variable c is also 3 less than variable w. Which pair of equations best models the relationship between c and w? c = w − 9c = 4w + 3c = w + 9c = w − 3w = c + 9w = c − 3w = c − 9w = 4c + 3

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SOLUTION:

Step 1:

In this question, we are given the following:

Variable c is 9 more than variable w. Variable c is also 3 less than variable w. Which pair of equations best models the relationship between c and w?

Step 2:

The details of the solution are as follows:

Variable c is 9 more than variable w.

[tex]\begin{gathered} This\text{ means that:} \\ c\text{ = w + 9 -- equation 1} \end{gathered}[/tex]

Variable c is also 3 less than variable w.

[tex]\begin{gathered} This\text{ means that:} \\ c\text{ = w - 3 -- equation 2} \end{gathered}[/tex]

CONCLUSION:

The final answer is:

c = w + 9

c = w − 3 ( OPTION B )