SOLUTION: Sadie is saving her money to buy to buy a new pony which cost $600.She has already saved $75. She earns $50 per week while working at the Stable and wonder how many weeks it would

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Question 1135445: Sadie is saving her money to buy to buy a new pony which cost $600.She has already saved $75. She earns $50 per week while working at the Stable and wonder how many weeks it would take to earn enough for a pony of her won
A) make a table showing the week numbers W and total savings in dollars $ in Sadie's saving account.
B) show the relationship between the number of weeks and Sadie's savings using an expression.
C) how many weeks will Sadie have to work to earn to buy the pony?
Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
Let +n+ = the number of weeks that have gone by
Let +A+ = the amount saved up to week number +n+
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The amount she has paid up to week +n+ is:
+n+=+1+
+75+%2B+50n++=+75+%2B+50%2A1+
+A+=+125+
-----------------
+n+=+2+
+75+%2B+50n+=+75+%2B+50%2A2+
+A+=+175+
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+n+=+3+
+75+%2B+50n+=+75+%2B+50%2A3+
+A+=+225+
-----------------
you can continue this table
-----------------
The equation is:
+A+=+75+%2B+50n+
When does the amount, +A+=+600+ ?
+600+=+75+%2B+50n+
+50n+=+600+-+75+
+50n+=+525+
+n+=+10.5+
+10+ weeks won't be quite enough time, so
the answer is +11+ weeks