a) The table with the output values is completed on the first image at the end of the answer.
b) The graph of the proportional relationship is given by the second image at the end of the answer.
What is a proportional relationship?
A proportional relationship is defined as follows:
y = kx.
In which k is the constant of proportionality.
He covers a 150-square-foot floor in 3 hours, hence the constant of proportionality is obtained as follows:
k = 150/3 = 50 sq feet per hour.
Then the equation is given as follows:
y = 50x.
Then the numeric values for the table are given as follows:
- 3 hours: y = 50 x 3 = 150 ft².
- 4 hours: y = 50 x 4 = 200 ft².
- 4.5 hours: y = 50 x 4.5 = 225 ft².
- 5 hours: y = 50 x 5 = 250 ft².
- 6.5 hours: y = 50 x 6.5 = 325 ft².
Missing Information
The problem is given by the image shown at the end of the answer.
More can be learned about proportional relationships at brainly.com/question/10424180
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