A bank charges $3 each time you use an out-of-network ATM. At the beginning of the month, you have $1500 in your bank account. You withdraw $60 from your bank account each time you use an out-of-network ATM. Graph a linear equation that represents the balance in your account after you use an out of network ATM.

Answer 1

Y = 1500 - 63x

Create a table:
1500 - 63(0) = 1500
1500 - 63(1) = 1437
1500 - 63(2) = 1374
1500 - 63(3) = 1311

Turn them into ordered pair:
(0, 1500)
(1, 1437)
(2, 1374)
(3, 1311)

Graph these points starting at the origin and go up infinitely (arrow on one end, so its a ray)

Answer 2

For solving in Slope-Intercept Form

One way to solve this is by using the equation y=mx+b when using slope-intercept format. In this case, y represents your total amount afterward, m represents the amount of money you take from your bank account each time you use the ATM, x represents the number of times you use the ATM, and b would represent your starting amount. We don't know y yet so we keep it as a variable: y=mx+b. We know m is -63 because that is the amount you take from your bank account each time you withdraw money from the ATM (60+3). We don't know x so that stays as a variable, and b equals 1500 because that is your starting amount. The equation for this problem is y=-63x+1500.

To graph, you starting off with your
y-intercept which is 1500 and plot (0,1500) on the graph. Your slope is -63 so you would create a table and graph the coordinates you get.

y=-63+1500

1500-63(0)= 1500 (0,1500)
1500-63(1)= 1437 (0,1437)
1500-63(2)= 1374 (0,1374)

Graph these points starting from the y-intercept or (0, y).

You shouldn't use negative numbers for your x coordinates because we are dealing with money in this equation. You can, however use negative numbers as long as you explain why you can and back up this claim with evidence.
Example: You can have negative numbers in this problem and on the graph because it is possible to go into debt when dealing with money.