The table and graph have been evaluated as shown below. The escape code include;
Code = -2(5 - 2) - 2(5 + 5) + 5(-2)
In Mathematics and Geometry, a proportional relationship is a type of relationship that passes through the origin (0, 0) and produces equivalent ratios as represented by the following mathematical equation:
y = kx
Where:
- y represents the y-variable.
- x represents the x-variable.
- k is the constant of proportionality.
Part A.
Since the table of values pass through the origin (0, 0), it must be a proportional relationship. Therefore, table A has a value of 5.
Part B.
Since the table of values does not pass through the origin (0, 0), it has a non-proportional relationship. Therefore, table B has a value of -2.
Part C.
Since the table of values C pass through the origin (0, 0), it must be a proportional relationship. Therefore, table C has a value of 5.
Part D.
Since the line in graph D pass through the origin (0, 0), it must be a proportional relationship. Therefore, graph D has a value of 5.
Part E.
Since the line in graph E is not a straight line, it has a non-proportional relationship. Therefore, graph E has a value of -2.
Part F.
Since the line in graph F does not pass through the origin (0, 0), it has a non-proportional relationship. Therefore, graph F has a value of -2.
Part G.
Since the table of values G has a constant of proportionality of 1, it must be a proportional relationship. Therefore, table G has a value of 5.
Part H.
The table of values H does not have a constant of proportionality, so it has a non-proportional relationship. Therefore, table H has a value of -2.
Based on the information above, the code can be computed as follows;
Code = B(G + F) + H(D + A) + C(E)
Code = -2(5 - 2) - 2(5 + 5) + 5(-2)