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: