Answer:
the rate of change of James’ salary is $845 dollars per year
y = 845x + 66640
the value of James’ salary in 23 years=$86,075
Step-by-step explanation:
Let x = the years worked and y = Salary in dollars
When x=0 then y = 66640
when x= 8 then y = 73400
Two points are (0,66640) and (8,73400)
Rate of change of salary is the slope
To find slope we use formula
![slope = \frac{y_2-y_1}{x_2-x_1} =\frac{73400-66640}{8-0} =845](https://tex.z-dn.net/?f=slope%20%3D%20%5Cfrac%7By_2-y_1%7D%7Bx_2-x_1%7D%20%3D%5Cfrac%7B73400-66640%7D%7B8-0%7D%20%3D845)
the rate of change of James’ salary is $845 dollars per year
Slope intercept form of equation is y=mx+b
m = 845 , b is the y intercept (initial salary)
so y = 845x + 66640
Now we find out salary in 23 years
plug in 23 for x in the y equation
y = 845x + 66640
y = 845(23) + 66640=86075
the value of James’ salary in 23 years=$86,075