Question

I WILL MARK BRAINLIEST

Answer 1

Answer:

(a) $s+g=525\\g=s+25$

(b) The graph is shown below.

(c) Seiji earned $ 250 and Gavin earned $ 275.

Step-by-step explanation:

Given:

Sum of earnings of Seiji and Gavin = $ 525

Gavin earns $ 25 more that that of Seiji.

(a)

So, as per question, if $s$ and $g$ are the amounts earned by Seiji and Gavin respectively, then;

$s+g=525\\g=s+25$

(b)

The graph is plotted using the x and y intercepts of each line.

For the line, $s+g=525$, the x intercept is at $g=0$. So, x intercept is (525,0). Similarly, the y intercept is when $s=0$, which is (0,525). Draw a line passing through these two points. The blue line represents $s+g=525$.

We follow the same process to plot the next line. The x intercept is at (-25,0) and y intercept is at (0,25). Draw a line passing through these two points. The green line represents $g=s+25$.

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 $x$ value of the point of intersection is the earning of Seiji which is $ 250 and the $y$ value is the earning of Gavin which is $ 275 as shown in the graph.

We can find the same algebraically also.

Substituting the value of $g$ in the first equation, we get

$s+s+25=525\\2s+25=525\\2s=525-25\\2s=500\\s=\frac{500}{2}=\ \ 250$

Now, $g=s+25=250+25=\ \ 275$  

Therefore, algebraically, Seiji earned $ 250 and Gavin earned $ 275.