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For the equation ๐‘=2๐‘คโˆ’5, complete the table of values below.๐‘ค2345๐‘ Submit answer

Question

For the equation ๐‘=2๐‘คโˆ’5, complete the table of values below.

๐‘ค 2 3 4 5
๐‘

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Solution

1. Break Down the Problem

We need to complete the table of values for the equation c=2wโˆ’5 c = 2w - 5 by substituting the values of w w given in the table.

2. Relevant Concepts

The equation c=2wโˆ’5 c = 2w - 5 is a linear equation where:

  • c c is the dependent variable,
  • w w is the independent variable.

3. Analysis and Detail

We will substitute each value of w w into the equation to find the corresponding values of c c :

  1. For w=2 w = 2 : c=2(2)โˆ’5=4โˆ’5=โˆ’1 c = 2(2) - 5 = 4 - 5 = -1

  2. For w=3 w = 3 : c=2(3)โˆ’5=6โˆ’5=1 c = 2(3) - 5 = 6 - 5 = 1

  3. For w=4 w = 4 : c=2(4)โˆ’5=8โˆ’5=3 c = 2(4) - 5 = 8 - 5 = 3

  4. For w=5 w = 5 : c=2(5)โˆ’5=10โˆ’5=5 c = 2(5) - 5 = 10 - 5 = 5

4. Verify and Summarize

We calculated the values of c c based on the given values of w w . All calculations are verified and accurate.

Final Answer

The completed table of values is:

w w c c
2 -1
3 1
4 3
5 5

This problem has been solved

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