Answer:
a. the relationships between the area of walls left to paint and the time they have been working
b. Company 1
c. Company 2
d. Company 1 = 147 hours, company 2 = 162 hours
Explanation:
a. The linear functions model the relationships between the area of walls left to paint and the time they have been working.
b. Company 1 is painting faster because the first line has a slope of -1000/7 while the second line has a slope of -100/9, which means Company 1 is painting 100 ft^2 every 7 hours while Company 2 is painting 100 ft^2 every 9 hours. Therefore Company 1 is going faster.
c. Company 2 had less area to paint when they began because at the 0 hour mark, company 1 had 2100 ft^2 to paint and company 2 had 1800 ft^2 to paint.
d. Company 1 will take 21*7=147 hours to finish. Company 2 will take 18*9=162 hours to finish.
I hope these solutions were helpful. Happy mathing!