SOLUTION: Dennis the manace collected cans to take to the recycling center. 52 cans earned him $4.91 and 64 cans earned him $5.87. (a).find a prediction: (b).how much would he earn if

Algebra ->  Coordinate Systems and Linear Equations  -> Linear Equations and Systems Word Problems -> SOLUTION: Dennis the manace collected cans to take to the recycling center. 52 cans earned him $4.91 and 64 cans earned him $5.87. (a).find a prediction: (b).how much would he earn if      Log On


   

Question 432714: Dennis the manace collected cans to take to the recycling center. 52 cans earned him $4.91 and 64 cans earned him $5.87.
(a).find a prediction:
(b).how much would he earn if he recycles 107 cans?
(c).how many cans did he recycle if he earned $7.87.
Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
What you need to do is plot a a straight line that
goes through the points (52, 4.91) and (64,5.87)
Notice that cans, c, are plotted on the horizontal
and Earnings, e, are on the vertical.
The formula is:
+%28e+-+4.91%29%2F%28c+-+52%29+=+%285.87+-+4.91%29%2F%2864+-+52%29+
+%28e+-+4.91%29%2F%28c+-+52%29+=+.96%2F+12+
+12%2A%28e+-+4.91%29+=+.96%2A%28c+-+52%29+
+12e+-+58.92+=+.96c+-+49.92+
+12e+=+.96c+%2B+9+
+4e+=+.32c+%2B+3+ answer
check answer:
c+=+52
+4e+=+.32%2A52+%2B+3+
+4e+=+16.64+%2B+3+
+4e+=+19.64+
+e+=+4.91+
OK
(b)
107 cans
+4e+=+.32%2A107+%2B+3+
+4e+=+34.24+%2B+3+
+4e+=+37.24+
+e+=+9.31+
(c)
$7.87
+4%2A7.87+=+.32c+%2B+3+
+31.48+=+.32c+%2B+3+
+.32c+=+28.48+
+c+=+89+