Kurt begins with $200 in his bank account and withdraws $10 each week. part a: write an equation for the line that represents this situation in slope-intercept form part b: graph the equation of the line

Step-by-step explanation:

According to the problem, Kurt is withdrawing $10 each week, but we don't how many weeks are, we just know that he is taking that amount of money constantly. So, the variable has to be "week".

On the other hand, he has $200, which is a fixed amount, it's not variable. So, this cannot be with a variable, because it shouldn't variate. Also, Kurt is constantly subtracting money from the $200, which means that the linear function has to be decreasing, and that is represent as a negative slope, which is the coefficient of the variable.

Therefore, according to all these characteristics, the line's equation or linear function should be:

As you can see, the negative sign represent the decreasing amount of money. The 200 represent the fixed amount of money Kurt has in the account, and the x refers to "weeks".

On the other hand, to graph the equation, we just to give specific values to the x, and see what result gives for y. This values are arbitrary, but when we want to graph a line, we just consider and , which is going to result in two different points (we just need two points to graph a line).

We build a table, to record the value of each variable:

x       y

0      200

20     0

The process would be:

For

For

With these values we can graph the linear equation, which is attached. Remember that each pair forms a point.