Question 1106386
you put down 250 security deposit.
the monthly rent is 500.


your total cost per month is the up front plus the monthly rent.


the formula would be y * x = 250 + 500 * x


y represents the average cost per month.
x represents the number of months.


to find out when the average cost per month will be 550, set y = 550 and solve for x.


you start with 550 * x = 250 + 500 * x


subtract 500 * x from both sides of the equation to get 50 * x = 250


divide both sides of the equation by 50 to get x = 5.


the average cost should be 550 per month in 5 months.


when x is equal to 5, the average cost per month equation becomes 5 * y = 250 + 5 * 500.


simplify this to get 5 * y = 2750.


divide that by 5 to get y = 550.


looks like the value of x is good.


you can graph the equation of y * x = 250 + 500 * x.


solve for y to get y = (250 + 500 * x) / x.


graph that equation and see what the value of x is when the value of y is 550.


the graph looks like this.


<img src = "http://theo.x10hosting.com/2018/011501.jpg" alt="$$$">


as you can see from the graph, the value of y is 550 when the value of x is 5.