Make a table and draw a graph to show the relationship between the number of houses and the number of windows. What is the number of windows in 7 houses?
Complete the table below.
Number of Houses 1 2 3
Number of Windows
Number of Houses 1 2 3
Number of Windows 2 4 6
To complete the table, we need to determine the number of windows for each number of houses. Since the relationship between the number of houses and the number of windows is not given, we will assume that each house has 2 windows.
Here is the completed table:
Number of Houses 1 2 3
Number of Windows 2 4 6
To draw a graph showing the relationship between the number of houses and the number of windows, we will plot the number of houses on the x-axis and the number of windows on the y-axis.
The points on the graph would be:
(1, 2)
(2, 4)
(3, 6)
The graph would show a linear relationship, with the points forming a straight line that passes through the origin (0,0).
Now, to find the number of windows in 7 houses, you can either:
1. Extend the table by filling in the number of windows for 4, 5, 6, and 7 houses:
Number of Houses 1 2 3 4 5 6 7
Number of Windows 2 4 6 8 10 12 14
So, the number of windows in 7 houses would be 14.
2. Use the equation of the straight line to find the number of windows in 7 houses. Since the line passes through the origin, we can determine the equation as y = mx, where m is the slope of the line, which is 2 (since each house has 2 windows).
So, when x (the number of houses) is 7, y (the number of windows) would be:
y = mx
y = 2 * 7
y = 14
Therefore, the number of windows in 7 houses is 14.