Clara is completing a Math project. She has two ropes with lengths 126 cm and 291 cm. She wants to cut them into pieces of equal
1 answer:
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The equasion has only one solution.
Answer:
(a)
(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;
(b)
The graph is plotted using the x and y intercepts of each line.
For the line, , the x intercept is at
. 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
.
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 .
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 value of the point of intersection is the earning of Seiji which is $ 210 and the
value is the earning of Gavin which is $ 240 as shown in the graph.
Therefore, Seiji earned $ 210 and Gavin earned $ 240.
