Answer:
(a) [tex]s+g=450\\g=s+30[/tex]
(b) The graph is shown below.
(c) Seiji earned $ 210 and Gavin earned $ 240.
Step-by-step explanation:
Given:
Sum of earnings of Seiji and Gavin = $ 450
Gavin earns $ 30 more that that of Seiji.
(a)
So, as per question, if s and g are the amounts earned by Seiji and Gavin respectively, then;
[tex]s+g=450\\g=s+30[/tex]
(b)
The graph is plotted using the x and y intercepts of each line.
For the line, [tex]s+g=450[/tex], the x intercept is at [tex]g=0[/tex]. So, x intercept is (450,0). Similarly, the y intercept is when s=0, which is (0,450). Draw a line passing through these two points. The red line represents [tex]s+g=450[/tex].
We follow the same process to plot the next line. The x intercept is at (-30,0) and y intercept is at (0,30). Draw a line passing through these two points. The blue line represents [tex]g=s+30[/tex].
The graph is shown below.
(c)
From the graph, the point of intersection of the two lines gives the earnings of each of the persons.
The [tex]x[/tex] value of the point of intersection is the earning of Seiji which is $ 210 and the [tex]y[/tex] value is the earning of Gavin which is $ 240 as shown in the graph.
Therefore, Seiji earned $ 210 and Gavin earned $ 240.
