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Answer :
The table of values indicates that the constant proportionality between earnings and time in hours, k, is 21.1
What is a proportional relationship; A proportional relationship is one in which the output value varies directly to the input value and is a multiple of the input value and a specified amount, known as the constant of proportionality.
Let x represent the input variable and let y represent the output variable, we get;
y = k·x
Where k is the constant of proportionality
k = y/x
The table of values can be presented as follows;
Time (Hours) Earnings (Dollars)
13 $274.30
16 $337.60
22 $464.20
The constant of proportionality can be found from the ratio of Khalil's earnings on the job to the duration he spends on the job
k = Earnings/Duration
Therefore;
k = 274.30/13
274.30/13 = 21.1
k = 21.1
Similarly
337.60/16 = 21.1
464.20/22 = 21.1
The constant of proportionality is; k = $21.1/hour
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