Question

First in the box restate the story.Use as few words as possible.Leave out unimportant details they don't affect the initial value or the rate of change.Then identify the initial value and the rate of change.next complete a table of values and a graph.

Answer 1

Restating the story:

The team has $350 for expenses, and each away game costs $50.

First, we complete the table:

at 0 away games, the remaining money is $350

at 1 away game, the remaining money is $350-50=$300

at 2 away games, the remaining money is $300-50=$250

at 3 away games, the remaining money is $250-50=$200

The table is the following:

Now, the initial value is as we can see 350.

Initial value: 350

And the rate of change is the change from one game to the next.

In this case, from 0 games to 1 game they lose 50.

So the rate of change is:

`(-50)/(1)=-50`

Which represents that they lose 50 per game.

Rate of change: -50

Finally, we take the points from the table and graph them.

The points in the table are:

(0,350)

(1,300)...

Graphing all of the points from the table to the cartesian plane:

That is just for the points in the table, but we can continue that line until the money is at 0: