Answer:
1. If 1 gallon of paint has been used, then 400 square feet of the wall will be painted.
2. The unit rate is 400 square feet per gallon.
Step-by-step explanation:
In the given graph x-axis represents the paint used in gallons and y-axis represents the painter area in square feet.
From the given figure it is clear that line passes through the point (1,400) it means if 1 gallon of paint has been used, then 400 square feet of the wall will be painted.
If a line passes through two points [tex](x_1,y_1)[/tex] and [tex](x_2,y_2)[/tex], then the unit rate of line is
[tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex]
From the given graph it is clear that the line passes through the points (0,0) and (1/4,100). It So the unit rate is
[tex]m=\frac{100-0}{\frac{1}{4}-0}[/tex]
[tex]m=\frac{100}{\frac{1}{4}}[/tex]
[tex]m=100\times 4[/tex]
[tex]m=400[/tex]
The unit rate is 400 square feet per gallon.
