SOLUTION: On a certain evening a 30 minute phone call costs $1.50. The next evening a 8 minute phone call costs $0.40. If the cost of an evening phone call is linear, find an equation to rep

Algebra ->  Coordinate Systems and Linear Equations  -> Linear Equations and Systems Word Problems -> SOLUTION: On a certain evening a 30 minute phone call costs $1.50. The next evening a 8 minute phone call costs $0.40. If the cost of an evening phone call is linear, find an equation to rep      Log On


   



Question 1108812: On a certain evening a 30 minute phone call costs $1.50. The next evening a 8 minute phone call costs $0.40. If the cost of an evening phone call is linear, find an equation to represent the cost of an evening phone call.
Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
Plot time in minutes on the horizontal axis
Plot the cost for a call on the vertical axis
You are given the points:
( 30, 1.5 )
( 8, .4 )
Use the general point-slope formula:
+%28+y+-+.4+%29+%2F+%28+x+-+8+%29+=+%28+1.5+-+.4+%29+%2F+%28+30+-+8+%29+
+%28+y+-+.4+%29+%2F+%28+x+-+8+%29+=+1.1+%2F+22+
+%28+y+-+.4+%29+%2F+%28+x+-+8+%29+=+.05+
+y+-+.4+=+.05%2A%28+x+-+8+%29+
+y+-+.4+=+.05x+-+.04+
+y+=+.05x+
-------------------------
check answer:
( 30, 1.5 )
+1.5+=+.05%2A30+
+1.5+=+1.5+
( 8, .4 )
+.4+=+.05%2A8+
+.4+=+.4+
OK