Need this is very can someone and answer each part to this ! i will mark brainliest

seiji and gavin both worked hard over the summer. together theyearned a total of 425$. gavin earned 25 more than seiji.

a) write a system of equations for the situation. use s for the amount seiji earned and g for the amount gavin earned.

b) graph the equations in the system.

c) use your graph to estimate how much each person earned.

The system of equations is y = -x + 425

and                          y = x + 25

Therefore Seiji earns $200.

therefore Gavin earns $225.

Step-by-step explanation:

i) Let the amount earned by Seiji be $x.

ii) let the amount earned by Gavin be $y.

iii) together they earned a total of $425

iv) therefore $x + $y = $425   ⇒   y = -x + 425

v) Gavin earned $25 more than Seiji.

vi) therefore y = x +25

vii) substituting the value of y in vi) into the equation in iv) we get

 x + (x + 25) = 425    ⇒   2x  + 25 = 425    ∴ 2x  =  400  ∴ x = 200.

  Therefore Seiji earns $200.

viii) therefore y = x + 25    ⇒   y  = 200 + 25 = 225

ix) therefore Gavin earns $225.

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- "runner b is moving at a slower rate."

- "the graphs shown are graphs of distance(km) against time(min).

the slopes of this graphs are are given by:

slope = (change in y)/(change in x)

= (change in distance)/(change in time)

this is the formula for finding the speed. so, the slope of these graphs represent the speed of the runner.

taking each division in the graph to represent 1 on both axis:

runner a ⇒ speed = (2-0)/(1-0)

= 2/1

= 2 km/min

runner b ⇒ speed = (3-0)/(3-0)

= 3/3

= 1 km/min

this shows that   runner b is moving at a slower rate."