Answer:
7). y = 140
8). x = 9
Explanation:
Question (7).
All-right pencil factory will produce the graphite pencils, table formed will represent a linear graph.
Three points on the graph are (12, 42) and (18, 63), (40, y)
Slope of the line passing through these points =
![(y_2-y_1)/(x_2-x_1)](https://img.qammunity.org/2021/formulas/mathematics/middle-school/kb22fsdtkimrfbfy51hnyncxhdjkkxel3s.png)
m =
=
![(y-42)/(40-12)](https://img.qammunity.org/2021/formulas/mathematics/college/snr6fkveu000mj7ec2zw2dmenk54ymo4g6.png)
=
![(y-42)/(40-12)](https://img.qammunity.org/2021/formulas/mathematics/college/snr6fkveu000mj7ec2zw2dmenk54ymo4g6.png)
3.5 =
![(y-42)/(40-12)](https://img.qammunity.org/2021/formulas/mathematics/college/snr6fkveu000mj7ec2zw2dmenk54ymo4g6.png)
98 = y - 42
y = 140
Question (8),
If a bicyclist rides at a constant rate, table formed will represent a linear graph.
Slope of a line passing through three points (2, 25), (5, 62.5) and (x, 112.5) given in the table,
m =
![(y_2-y_1)/(x_2-x_1)](https://img.qammunity.org/2021/formulas/mathematics/middle-school/kb22fsdtkimrfbfy51hnyncxhdjkkxel3s.png)
![(62.5-25)/(5-2)=(112.5-62.5)/(x-5)](https://img.qammunity.org/2021/formulas/mathematics/college/2y6djv6vxr8xle7u38mkkj450b65bi7xkt.png)
![(37.5)/(3)=(50)/(x-5)](https://img.qammunity.org/2021/formulas/mathematics/college/22cxo3uesqvrrz2enxlbhro5cxff7dip97.png)
37.5x - 187.5 = 150
37.5x = 337.5
x = 9