Question

The Sugar Sweet Company is going to transport its sugar to market. It will cost 4500 to rent trucks, and it will cost an additional 255 for each ton of sugar transported.

Let C represent the total cost (in dollars), and let S represent the amount of sugar (in tons) transported. Write an equation relating C to S Then use this equation to find the total cost to transport 16 tons of sugar.

Answer 1

C(s) = total cost function

$5,500 base price to rent trucks

$250 per ton of sugar to be transported

Total Cost = Price per ton of sugar * # of tons + total cost to rent trucks

C(s) = $250s + $5,500

For 14 tons of sugar the total cost would be:

C(s) = $250(14 tons) + $5,500

C(s) = $9,000

Total cost to transport 14 tons of sugar would cost $9,000