Question

2. Two painting companies were hired to paint two different buildings. The amount of area

left to paint on both buildings is related to the amount of time that the painters spend
on painting each of them. This relationship is shown in the two graphs below:

a. what are the linear functions modelling the two relationships in the graphs above?

b. which painting company is painting their building at a faster rate? how much faster?

c. which painting company had less area to paint when they began painting their building?

d. how many hours will it take each painting company to completely finish painting their building?

pls help its due today and its 100 points

Answer 1

#a

#1

• (0,2100)
• (7,2000)

Slope:-

• m=2000-2100/7=-100/7

Equation in point slope form

• y-2100=-100/7(x)
• y=-100/7x+2100

Slope=-100/7

#2

• (0,1800)
• (8,1700)

Slope

• m=1700-1800/8=-100/8

Y intercept=1800

Equation

• y=-100/8+1800

Slope=-100/8

#b

First company is painting faster

• -100/7 ÷-100/8
• 8/7 times faster

#c

Comapny B

• as their y intercept is 1800 which is less than 2100

#d

for #1

• -100/7x+2100=0
• 100/7x=2100
• x=21(7)=147hours

#2

• 100/8x=1800
• x=18(8)
• x=144hours