SOLUTION: A health club charges a set fee to join and a monthly fee to remain a member. If Susan joins for 5 months and pays $115, and John pays $75 for 3 months, how much will their friend

Algebra ->  Average -> SOLUTION: A health club charges a set fee to join and a monthly fee to remain a member. If Susan joins for 5 months and pays $115, and John pays $75 for 3 months, how much will their friend       Log On


   

Question 512851: A health club charges a set fee to join and a monthly fee to remain a member. If Susan joins for 5 months and pays $115, and John pays $75 for 3 months, how much will their friend Aaron pay for 8 months? The five step method is started below.
Let m=the monthly charge, and let f=the enrollment fee.
Thank You
Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
What they are really asking is for the graph of the function
+f+=+g%28t%29+. The monthly charge would be the slope of the line
if I plot f versus months (t)
Use the point-slope formula
+%28+f+-+75+%29+%2F+%28+t+-+3+%29+=++%28+115+-+75+%29+%2F+%28+5+-+3+%29+
+%28+f+-+75+%29+%2F+%28+t+-+3+%29+=+40+%2F+2+
+%28+f+-+75+%29+%2F+%28+t+-+3+%29+=+20+
+f+-+75+=+20%2A%28+t+-+3+%29+
+f+=+20t+-+60+%2B+75+
+f+=+20t+%2B+15+
So, the monthly charge is $20 and the set fee is $15
for 8 months:
+f+=+20%2A8+%2B+15+
+f+=+160+%2B+15+
+f+=+175+
Aaron pays $175