SOLUTION: Sofia PAYS $20 PER MNTH FOR a gym membership after paying an initial fee. After 15 months, she has paid a total of $450. Write an equation in point slope form representing the amou

Algebra ->  Coordinate Systems and Linear Equations  -> Linear Equations and Systems Word Problems -> SOLUTION: Sofia PAYS $20 PER MNTH FOR a gym membership after paying an initial fee. After 15 months, she has paid a total of $450. Write an equation in point slope form representing the amou      Log On


   

Question 1126927: Sofia PAYS $20 PER MNTH FOR a gym membership after paying an initial fee. After 15 months, she has paid a total of $450. Write an equation in point slope form representing the amount she has paid,y, after a given number of months,x.
Found 2 solutions by somealgebratutor, ikleyn:
Answer by somealgebratutor(1) About Me  (Show Source):
You can put this solution on YOUR website!
Point slope form requires a point and a slope:
y+-+y1+=+m%28x+-+x1%29
where (x1, y1) is a point on the graph and m is the slope.
We know that x would be months and y would be amount paid.
In this scenario, we have the amount paid per month (the slope), and a point (15 months, $450).
Plug them into the equation to get:
y+-+450+=+20%28x+-+15%29

Answer by ikleyn(52803) About Me  (Show Source):
You can put this solution on YOUR website!
.

            y = 150 + 20*x,   or,   equivalently,   y - 150 = 20*x,

            and this equation is in point-slope form.