Answer:
The equation is [tex]y = 50x + 250[/tex]
Step-by-step explanation:
Linear equation:
A linear equation has the following format:
[tex]y = mx + b[/tex]
In which m is the slope and b is the y-intercept.
A deep sea fishing company took a group of 5 fishermen out for $500 and a group of 9 fishermen out for $700.
This means that we have these two points:
(5,500) -> When x = 5, y = 500
(9, 700) -> When x = 9, y = 700
Finding the slope:
Given a pair of points, the slope is given by the change in the output(in this case y) divided by the change in the input(in this case x). So
Change in y: 700 - 500 = 200
Change in x: 9 - 5 = 4
Slope: [tex]m = \frac{200}{4} = 50[/tex]
So
[tex]y = 50x + b[/tex]
(5,500) -> When x = 5, y = 500
We use this to find b. So
[tex]y = 50x + b[/tex]
[tex]500 = 50*5 + b[/tex]
[tex]b = 250[/tex]
So
[tex]y = 50x + 250[/tex]
