SOLUTION: cost of gravel a gravel dealer charges $50 plus $30 per cubic yard for delivering a truckload of gravel. Express the total cost C(n) in dollars as a function of the number of cubic

Algebra ->  Coordinate Systems and Linear Equations  -> Linear Equations and Systems Word Problems -> SOLUTION: cost of gravel a gravel dealer charges $50 plus $30 per cubic yard for delivering a truckload of gravel. Express the total cost C(n) in dollars as a function of the number of cubic      Log On


   

Question 80526: cost of gravel a gravel dealer charges $50 plus $30 per cubic yard for delivering a truckload of gravel. Express the total cost C(n) in dollars as a function of the number of cubic yards delivered n. Find C(12).
Answer by bucky(2189) About Me  (Show Source):
You can put this solution on YOUR website!
Call n the number of cubic yards that are ordered. Then to find the cost of just the gravel
you need to multiply the number of cubic yards (n) by $30 per yard. Therefore, that cost
is 30%2An. To that cost the dealer will add $50 for delivery. This will make the total
cost of gravel plus delivery [call it C(n)]:
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C%28n%29+=+30n+%2B+50 dollars.
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This is one of the answers you were asked for in the problem.
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Using this equation you can calculate the the cost of 12 delivered cubic yards by replacing
n with 12. This results in:
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C%2812%29+=+30%2A12+%2B+50
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Multiply 30 by 12 and the equation becomes:
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C%2812%29+=+360+%2B+50+=+410
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So 12 cubic yards of delivered gravel costs $410.
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Hope this helps you to understand the problem a little more.
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