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The Sugar Sweet Company will choose from two companies to transport its sugar to market. The first company charges $1757 to rent trucks plus an additional fee of $100.25 for each ton of sugar. The second company does not charge to rent trucks but charges $225.75 for each ton of sugar.

What is the cost when the two companies charge the same??

Need help ASAP



Answer :

AnswTo find the point at which the two companies charge the same amount, we can set up an equation where the total cost for each company is equal:

Let \( x \) be the number of tons of sugar.

For the first company:

Total cost = $1757 (rental fee) + $100.25 (cost per ton of sugar) * \( x \)

For the second company:

Total cost = $0 (no rental fee) + $225.75 (cost per ton of sugar) * \( x \)

Setting these equal:

\[ 1757 + 100.25x = 0 + 225.75x \]

To solve for \( x \), we'll first subtract \( 100.25x \) from both sides:

\[ 1757 = 225.75x - 100.25x \]

\[ 1757 = 125.5x \]

Now, divide both sides by 125.5 to isolate \( x \):

\[ x = \frac{1757}{125.5} \]

\[ x \approx 14 \]

So, when the two companies charge the same amount, the cost occurs when 14 tons of sugar are transported.er:

Step-by-step explanation:

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