2. seiji and gavin both worked hard over the summer. together they earned 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. answer all three questions and you will get 35 ; )

Step-by-step explanation:

(a)

let s be the amount Seiji earned and g be the amount Gavin earned.

As per the condition; together Seiji and Gavin earned a total of $ 425.

then we have;

s + g = 425             [1]

Also, Gavin earned $ 25 more than Seiji

⇒ g = 25 + s

Therefore, the system of equation we have;

s + g = 425

g = 25 + s

(b)

s + g = 425

g = 25 + s

Graph of these equation as shown below in the attachment.

(c)

The ordered pair that is the solution of both equations is the solution of the system i.e (s , g)

Since, you can see from the graph that  system has at least one solution and the system which has exactly one solution, it is independent.

from the graph we have, we have (s, g) = (200 , 225)

Therefore,  Seiji (s) earned the amount  = $200 and Gavin(g) earned the amount = $225

entering that problem on the tube might get you an answer

the formula of a slope:

from a table we have

substitute:

the slope of f(x) is -1.

the graph of funcfion g(x) is a horizontal line. the slope of a horizontal line is equal 0. therefore the slope of g(x) is 0.

-1 < 0