A deep sea fishing company took a group of 5 fishermen out for $500 and a group of 9 fishermen out for $700. Write an equation that will represent the cost, y, of the trip for x fishermen.

The equation is

Step-by-step explanation:

Linear equation:

A linear equation has the following format:

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:

So

(5,500) -> When x = 5, y = 500

We use this to find b. So

So

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step-by-step explanation: