The Sugar Sweet Company will choose from two companies to transport its sugar to market. The first company charges $3696 to rent trucks plus an additional fee of $225.75 for each ton of sugar. The second company charges $4500 to rent trucks plus an additional fee of $175.50 for each ton of sugar. For what amount of sugar do the two companies charge same? What is the cost when the two companies charge the same?

Question

Business

Kasey

16 December, 13:55

The Sugar Sweet Company will choose from two companies to transport its sugar to market. The first company charges $3696 to rent trucks plus an additional fee of $225.75 for each ton of sugar. The second company charges $4500 to rent trucks plus an additional fee of $175.50 for each ton of sugar. For what amount of sugar do the two companies charge same? What is the cost when the two companies charge the same?

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Answers (1)

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Meadow Christian · Answer 1

The amount when the companies charge the same is 16 tons. The cost of the two companies when they are the same is $7,308.

Explanation:

A. You could put an equation into a graphing calculator and analyze the tables. (This is the easier option) or ...

B. Write the numbers out by hand. You take 3696 and 4500 as starting values and continue adding the fees on each one. You continue this until you have equivalent costs. This takes awhile, but it will get you your answer.